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Finding the Fourth Proportional to 15,490.71, 21,377.25 and 8,417.16

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Solution

The fourth proportional to 15,490.71, 21,377.25 and 8,417.16 is: 11,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.71 : 21,377.25 = 8,417.16 : x
  2. Step 2: Convert to fraction form
    15,490.71/21,377.25 = 8,417.16/x
  3. Step 3: Cross multiply
    15,490.71x = 21,377.25 × 8,417.16
  4. Step 4: Simplify right side
    15,490.71x = 179,935,733.61
  5. Step 5: Solve for x
    x = 179,935,733.61/15,490.71
  6. Step 6: Final answer
    x = 11,615.72

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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.