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Finding the Fourth Proportional to 38,406.47, 57,609.70 and 12,113.26

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Solution

The fourth proportional to 38,406.47, 57,609.70 and 12,113.26 is: 18,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.47 : 57,609.70 = 12,113.26 : x
  2. Step 2: Convert to fraction form
    38,406.47/57,609.70 = 12,113.26/x
  3. Step 3: Cross multiply
    38,406.47x = 57,609.70 × 12,113.26
  4. Step 4: Simplify right side
    38,406.47x = 697,841,100.31
  5. Step 5: Solve for x
    x = 697,841,100.31/38,406.47
  6. Step 6: Final answer
    x = 18,169.89

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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.