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Finding the Fourth Proportional to 16,565.40, 24,848.16 and 6,177

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Solution

The fourth proportional to 16,565.40, 24,848.16 and 6,177 is: 9,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.40 : 24,848.16 = 6,177 : x
  2. Step 2: Convert to fraction form
    16,565.40/24,848.16 = 6,177/x
  3. Step 3: Cross multiply
    16,565.40x = 24,848.16 × 6,177
  4. Step 4: Simplify right side
    16,565.40x = 153,487,084.32
  5. Step 5: Solve for x
    x = 153,487,084.32/16,565.40
  6. Step 6: Final answer
    x = 9,265.52

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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.