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Finding the Fourth Proportional to 39,115.72, 58,675.74 and 11,413

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Solution

The fourth proportional to 39,115.72, 58,675.74 and 11,413 is: 17,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115.72 : 58,675.74 = 11,413 : x
  2. Step 2: Convert to fraction form
    39,115.72/58,675.74 = 11,413/x
  3. Step 3: Cross multiply
    39,115.72x = 58,675.74 × 11,413
  4. Step 4: Simplify right side
    39,115.72x = 669,666,220.62
  5. Step 5: Solve for x
    x = 669,666,220.62/39,115.72
  6. Step 6: Final answer
    x = 17,120.13

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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.