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Finding the Fourth Proportional to 16,928.16, 25,397.76 and 8,164.08

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Solution

The fourth proportional to 16,928.16, 25,397.76 and 8,164.08 is: 12,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,928.16 : 25,397.76 = 8,164.08 : x
  2. Step 2: Convert to fraction form
    16,928.16/25,397.76 = 8,164.08/x
  3. Step 3: Cross multiply
    16,928.16x = 25,397.76 × 8,164.08
  4. Step 4: Simplify right side
    16,928.16x = 207,349,344.46
  5. Step 5: Solve for x
    x = 207,349,344.46/16,928.16
  6. Step 6: Final answer
    x = 12,248.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.