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Finding the Fourth Proportional to 15,564.32, 21,478.92 and 8,490.86

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Solution

The fourth proportional to 15,564.32, 21,478.92 and 8,490.86 is: 11,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,564.32 : 21,478.92 = 8,490.86 : x
  2. Step 2: Convert to fraction form
    15,564.32/21,478.92 = 8,490.86/x
  3. Step 3: Cross multiply
    15,564.32x = 21,478.92 × 8,490.86
  4. Step 4: Simplify right side
    15,564.32x = 182,374,502.67
  5. Step 5: Solve for x
    x = 182,374,502.67/15,564.32
  6. Step 6: Final answer
    x = 11,717.47

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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.