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Finding the Fourth Proportional to 15,489.90, 21,376.13 and 8,416.32

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Solution

The fourth proportional to 15,489.90, 21,376.13 and 8,416.32 is: 11,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489.90 : 21,376.13 = 8,416.32 : x
  2. Step 2: Convert to fraction form
    15,489.90/21,376.13 = 8,416.32/x
  3. Step 3: Cross multiply
    15,489.90x = 21,376.13 × 8,416.32
  4. Step 4: Simplify right side
    15,489.90x = 179,908,308.36
  5. Step 5: Solve for x
    x = 179,908,308.36/15,489.90
  6. Step 6: Final answer
    x = 11,614.56

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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.