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Finding the Fourth Proportional to 15,731.57, 21,709.40 and 8,657.84

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Solution

The fourth proportional to 15,731.57, 21,709.40 and 8,657.84 is: 11,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.57 : 21,709.40 = 8,657.84 : x
  2. Step 2: Convert to fraction form
    15,731.57/21,709.40 = 8,657.84/x
  3. Step 3: Cross multiply
    15,731.57x = 21,709.40 × 8,657.84
  4. Step 4: Simplify right side
    15,731.57x = 187,956,359.86
  5. Step 5: Solve for x
    x = 187,956,359.86/15,731.57
  6. Step 6: Final answer
    x = 11,947.72

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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.