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Finding the Fourth Proportional to 15,685.59, 23,531.27 and 5,156.19

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Solution

The fourth proportional to 15,685.59, 23,531.27 and 5,156.19 is: 7,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.59 : 23,531.27 = 5,156.19 : x
  2. Step 2: Convert to fraction form
    15,685.59/23,531.27 = 5,156.19/x
  3. Step 3: Cross multiply
    15,685.59x = 23,531.27 × 5,156.19
  4. Step 4: Simplify right side
    15,685.59x = 121,331,699.06
  5. Step 5: Solve for x
    x = 121,331,699.06/15,685.59
  6. Step 6: Final answer
    x = 7,735.23

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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.