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Finding the Fourth Proportional to 22,892.50, 34,356.32 and 10,246.18

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Solution

The fourth proportional to 22,892.50, 34,356.32 and 10,246.18 is: 15,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.50 : 34,356.32 = 10,246.18 : x
  2. Step 2: Convert to fraction form
    22,892.50/34,356.32 = 10,246.18/x
  3. Step 3: Cross multiply
    22,892.50x = 34,356.32 × 10,246.18
  4. Step 4: Simplify right side
    22,892.50x = 352,021,038.86
  5. Step 5: Solve for x
    x = 352,021,038.86/22,892.50
  6. Step 6: Final answer
    x = 15,377.13

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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.