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Finding the Fourth Proportional to 16,184.75, 24,282.93 and 6,331.10

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Solution

The fourth proportional to 16,184.75, 24,282.93 and 6,331.10 is: 9,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.75 : 24,282.93 = 6,331.10 : x
  2. Step 2: Convert to fraction form
    16,184.75/24,282.93 = 6,331.10/x
  3. Step 3: Cross multiply
    16,184.75x = 24,282.93 × 6,331.10
  4. Step 4: Simplify right side
    16,184.75x = 153,737,658.12
  5. Step 5: Solve for x
    x = 153,737,658.12/16,184.75
  6. Step 6: Final answer
    x = 9,498.92

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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.