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Finding the Fourth Proportional to 24,240.85, 36,362.13 and 6,712

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Solution

The fourth proportional to 24,240.85, 36,362.13 and 6,712 is: 10,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,240.85 : 36,362.13 = 6,712 : x
  2. Step 2: Convert to fraction form
    24,240.85/36,362.13 = 6,712/x
  3. Step 3: Cross multiply
    24,240.85x = 36,362.13 × 6,712
  4. Step 4: Simplify right side
    24,240.85x = 244,062,616.56
  5. Step 5: Solve for x
    x = 244,062,616.56/24,240.85
  6. Step 6: Final answer
    x = 10,068.24

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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.