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Finding the Fourth Proportional to 20,907.61, 31,372.59 and 9,814.40

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Solution

The fourth proportional to 20,907.61, 31,372.59 and 9,814.40 is: 14,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.61 : 31,372.59 = 9,814.40 : x
  2. Step 2: Convert to fraction form
    20,907.61/31,372.59 = 9,814.40/x
  3. Step 3: Cross multiply
    20,907.61x = 31,372.59 × 9,814.40
  4. Step 4: Simplify right side
    20,907.61x = 307,903,147.30
  5. Step 5: Solve for x
    x = 307,903,147.30/20,907.61
  6. Step 6: Final answer
    x = 14,726.85

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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.