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Finding the Fourth Proportional to 15,641.71, 21,585.49 and 8,471.59

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Solution

The fourth proportional to 15,641.71, 21,585.49 and 8,471.59 is: 11,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.71 : 21,585.49 = 8,471.59 : x
  2. Step 2: Convert to fraction form
    15,641.71/21,585.49 = 8,471.59/x
  3. Step 3: Cross multiply
    15,641.71x = 21,585.49 × 8,471.59
  4. Step 4: Simplify right side
    15,641.71x = 182,863,421.23
  5. Step 5: Solve for x
    x = 182,863,421.23/15,641.71
  6. Step 6: Final answer
    x = 11,690.76

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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.