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Finding the Fourth Proportional to 20,780.59, 31,174.95 and 7,633.06

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Solution

The fourth proportional to 20,780.59, 31,174.95 and 7,633.06 is: 11,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.59 : 31,174.95 = 7,633.06 : x
  2. Step 2: Convert to fraction form
    20,780.59/31,174.95 = 7,633.06/x
  3. Step 3: Cross multiply
    20,780.59x = 31,174.95 × 7,633.06
  4. Step 4: Simplify right side
    20,780.59x = 237,960,263.85
  5. Step 5: Solve for x
    x = 237,960,263.85/20,780.59
  6. Step 6: Final answer
    x = 11,451.08

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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.