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Finding the Fourth Proportional to 16,385.80, 24,570.04 and 7,141

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Solution

The fourth proportional to 16,385.80, 24,570.04 and 7,141 is: 10,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.80 : 24,570.04 = 7,141 : x
  2. Step 2: Convert to fraction form
    16,385.80/24,570.04 = 7,141/x
  3. Step 3: Cross multiply
    16,385.80x = 24,570.04 × 7,141
  4. Step 4: Simplify right side
    16,385.80x = 175,454,655.64
  5. Step 5: Solve for x
    x = 175,454,655.64/16,385.80
  6. Step 6: Final answer
    x = 10,707.73

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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.