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Finding the Fourth Proportional to 14,930.31, 22,377 and 7,536.87

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Solution

The fourth proportional to 14,930.31, 22,377 and 7,536.87 is: 11,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,930.31 : 22,377 = 7,536.87 : x
  2. Step 2: Convert to fraction form
    14,930.31/22,377 = 7,536.87/x
  3. Step 3: Cross multiply
    14,930.31x = 22,377 × 7,536.87
  4. Step 4: Simplify right side
    14,930.31x = 168,652,539.99
  5. Step 5: Solve for x
    x = 168,652,539.99/14,930.31
  6. Step 6: Final answer
    x = 11,295.98

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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.