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Finding the Fourth Proportional to 16,565.72, 24,847.66 and 6,702.35

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Solution

The fourth proportional to 16,565.72, 24,847.66 and 6,702.35 is: 10,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.72 : 24,847.66 = 6,702.35 : x
  2. Step 2: Convert to fraction form
    16,565.72/24,847.66 = 6,702.35/x
  3. Step 3: Cross multiply
    16,565.72x = 24,847.66 × 6,702.35
  4. Step 4: Simplify right side
    16,565.72x = 166,537,598.14
  5. Step 5: Solve for x
    x = 166,537,598.14/16,565.72
  6. Step 6: Final answer
    x = 10,053.15

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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.