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Finding the Fourth Proportional to 16,158.90, 24,238.92 and 4,473

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Solution

The fourth proportional to 16,158.90, 24,238.92 and 4,473 is: 6,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.90 : 24,238.92 = 4,473 : x
  2. Step 2: Convert to fraction form
    16,158.90/24,238.92 = 4,473/x
  3. Step 3: Cross multiply
    16,158.90x = 24,238.92 × 4,473
  4. Step 4: Simplify right side
    16,158.90x = 108,420,689.16
  5. Step 5: Solve for x
    x = 108,420,689.16/16,158.90
  6. Step 6: Final answer
    x = 6,709.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.