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Finding the Fourth Proportional to 15,711.50, 21,681.27 and 8,541.15

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Solution

The fourth proportional to 15,711.50, 21,681.27 and 8,541.15 is: 11,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.50 : 21,681.27 = 8,541.15 : x
  2. Step 2: Convert to fraction form
    15,711.50/21,681.27 = 8,541.15/x
  3. Step 3: Cross multiply
    15,711.50x = 21,681.27 × 8,541.15
  4. Step 4: Simplify right side
    15,711.50x = 185,182,979.26
  5. Step 5: Solve for x
    x = 185,182,979.26/15,711.50
  6. Step 6: Final answer
    x = 11,786.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.