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Finding the Fourth Proportional to 15,171.31, 22,759.98 and 4,642.80

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Solution

The fourth proportional to 15,171.31, 22,759.98 and 4,642.80 is: 6,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.31 : 22,759.98 = 4,642.80 : x
  2. Step 2: Convert to fraction form
    15,171.31/22,759.98 = 4,642.80/x
  3. Step 3: Cross multiply
    15,171.31x = 22,759.98 × 4,642.80
  4. Step 4: Simplify right side
    15,171.31x = 105,670,035.14
  5. Step 5: Solve for x
    x = 105,670,035.14/15,171.31
  6. Step 6: Final answer
    x = 6,965.12

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