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Finding the Fourth Proportional to 39,882.79, 59,805.82 and 13,580.47

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Solution

The fourth proportional to 39,882.79, 59,805.82 and 13,580.47 is: 20,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,882.79 : 59,805.82 = 13,580.47 : x
  2. Step 2: Convert to fraction form
    39,882.79/59,805.82 = 13,580.47/x
  3. Step 3: Cross multiply
    39,882.79x = 59,805.82 × 13,580.47
  4. Step 4: Simplify right side
    39,882.79x = 812,191,144.34
  5. Step 5: Solve for x
    x = 812,191,144.34/39,882.79
  6. Step 6: Final answer
    x = 20,364.45

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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.