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Finding the Fourth Proportional to 15,164.56, 22,759.62 and 6,405.76

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Solution

The fourth proportional to 15,164.56, 22,759.62 and 6,405.76 is: 9,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.56 : 22,759.62 = 6,405.76 : x
  2. Step 2: Convert to fraction form
    15,164.56/22,759.62 = 6,405.76/x
  3. Step 3: Cross multiply
    15,164.56x = 22,759.62 × 6,405.76
  4. Step 4: Simplify right side
    15,164.56x = 145,792,663.41
  5. Step 5: Solve for x
    x = 145,792,663.41/15,164.56
  6. Step 6: Final answer
    x = 9,614.04

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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.