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Finding the Fourth Proportional to 24,782.80, 34,191.94 and 14,164.92

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Solution

The fourth proportional to 24,782.80, 34,191.94 and 14,164.92 is: 19,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.80 : 34,191.94 = 14,164.92 : x
  2. Step 2: Convert to fraction form
    24,782.80/34,191.94 = 14,164.92/x
  3. Step 3: Cross multiply
    24,782.80x = 34,191.94 × 14,164.92
  4. Step 4: Simplify right side
    24,782.80x = 484,326,094.74
  5. Step 5: Solve for x
    x = 484,326,094.74/24,782.80
  6. Step 6: Final answer
    x = 19,542.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.