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Finding the Fourth Proportional to 19,642.31, 29,463.31 and 13,008.50

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Solution

The fourth proportional to 19,642.31, 29,463.31 and 13,008.50 is: 19,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.31 : 29,463.31 = 13,008.50 : x
  2. Step 2: Convert to fraction form
    19,642.31/29,463.31 = 13,008.50/x
  3. Step 3: Cross multiply
    19,642.31x = 29,463.31 × 13,008.50
  4. Step 4: Simplify right side
    19,642.31x = 383,273,435.61
  5. Step 5: Solve for x
    x = 383,273,435.61/19,642.31
  6. Step 6: Final answer
    x = 19,512.65

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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.