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Finding the Fourth Proportional to 34,789.86, 52,184.82 and 14,008.50

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Solution

The fourth proportional to 34,789.86, 52,184.82 and 14,008.50 is: 21,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,789.86 : 52,184.82 = 14,008.50 : x
  2. Step 2: Convert to fraction form
    34,789.86/52,184.82 = 14,008.50/x
  3. Step 3: Cross multiply
    34,789.86x = 52,184.82 × 14,008.50
  4. Step 4: Simplify right side
    34,789.86x = 731,031,050.97
  5. Step 5: Solve for x
    x = 731,031,050.97/34,789.86
  6. Step 6: Final answer
    x = 21,012.76

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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.