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Finding the Fourth Proportional to 16,005.75, 24,000.95 and 7,565.23

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Solution

The fourth proportional to 16,005.75, 24,000.95 and 7,565.23 is: 11,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.75 : 24,000.95 = 7,565.23 : x
  2. Step 2: Convert to fraction form
    16,005.75/24,000.95 = 7,565.23/x
  3. Step 3: Cross multiply
    16,005.75x = 24,000.95 × 7,565.23
  4. Step 4: Simplify right side
    16,005.75x = 181,572,706.97
  5. Step 5: Solve for x
    x = 181,572,706.97/16,005.75
  6. Step 6: Final answer
    x = 11,344.22

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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.