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Finding the Fourth Proportional to 16,191.93, 24,237.59 and 8,778

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Solution

The fourth proportional to 16,191.93, 24,237.59 and 8,778 is: 13,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.93 : 24,237.59 = 8,778 : x
  2. Step 2: Convert to fraction form
    16,191.93/24,237.59 = 8,778/x
  3. Step 3: Cross multiply
    16,191.93x = 24,237.59 × 8,778
  4. Step 4: Simplify right side
    16,191.93x = 212,757,521.13
  5. Step 5: Solve for x
    x = 212,757,521.13/16,191.93
  6. Step 6: Final answer
    x = 13,139.73

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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.