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Finding the Fourth Proportional to 15,711.60, 21,681.84 and 9,427.52

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Solution

The fourth proportional to 15,711.60, 21,681.84 and 9,427.52 is: 13,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.60 : 21,681.84 = 9,427.52 : x
  2. Step 2: Convert to fraction form
    15,711.60/21,681.84 = 9,427.52/x
  3. Step 3: Cross multiply
    15,711.60x = 21,681.84 × 9,427.52
  4. Step 4: Simplify right side
    15,711.60x = 204,405,980.24
  5. Step 5: Solve for x
    x = 204,405,980.24/15,711.60
  6. Step 6: Final answer
    x = 13,009.88

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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.