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Finding the Fourth Proportional to 16,565.16, 24,852.06 and 6,177

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Solution

The fourth proportional to 16,565.16, 24,852.06 and 6,177 is: 9,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.16 : 24,852.06 = 6,177 : x
  2. Step 2: Convert to fraction form
    16,565.16/24,852.06 = 6,177/x
  3. Step 3: Cross multiply
    16,565.16x = 24,852.06 × 6,177
  4. Step 4: Simplify right side
    16,565.16x = 153,511,174.62
  5. Step 5: Solve for x
    x = 153,511,174.62/16,565.16
  6. Step 6: Final answer
    x = 9,267.11

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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.