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Finding the Fourth Proportional to 24,497.69, 36,744.53 and 7,853.24

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Solution

The fourth proportional to 24,497.69, 36,744.53 and 7,853.24 is: 11,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.69 : 36,744.53 = 7,853.24 : x
  2. Step 2: Convert to fraction form
    24,497.69/36,744.53 = 7,853.24/x
  3. Step 3: Cross multiply
    24,497.69x = 36,744.53 × 7,853.24
  4. Step 4: Simplify right side
    24,497.69x = 288,563,665.37
  5. Step 5: Solve for x
    x = 288,563,665.37/24,497.69
  6. Step 6: Final answer
    x = 11,779.22

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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.