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Finding the Fourth Proportional to 10,045.05, 15,058.31 and 9,214.70

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Solution

The fourth proportional to 10,045.05, 15,058.31 and 9,214.70 is: 13,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.05 : 15,058.31 = 9,214.70 : x
  2. Step 2: Convert to fraction form
    10,045.05/15,058.31 = 9,214.70/x
  3. Step 3: Cross multiply
    10,045.05x = 15,058.31 × 9,214.70
  4. Step 4: Simplify right side
    10,045.05x = 138,757,687.79
  5. Step 5: Solve for x
    x = 138,757,687.79/10,045.05
  6. Step 6: Final answer
    x = 13,813.54

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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.