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Finding the Fourth Proportional to 24,411.69, 36,617.54 and 7,776.83

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Solution

The fourth proportional to 24,411.69, 36,617.54 and 7,776.83 is: 11,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.69 : 36,617.54 = 7,776.83 : x
  2. Step 2: Convert to fraction form
    24,411.69/36,617.54 = 7,776.83/x
  3. Step 3: Cross multiply
    24,411.69x = 36,617.54 × 7,776.83
  4. Step 4: Simplify right side
    24,411.69x = 284,768,161.63
  5. Step 5: Solve for x
    x = 284,768,161.63/24,411.69
  6. Step 6: Final answer
    x = 11,665.24

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.