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Finding the Fourth Proportional to 38,407.29, 57,610.94 and 12,114.08

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Solution

The fourth proportional to 38,407.29, 57,610.94 and 12,114.08 is: 18,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.29 : 57,610.94 = 12,114.08 : x
  2. Step 2: Convert to fraction form
    38,407.29/57,610.94 = 12,114.08/x
  3. Step 3: Cross multiply
    38,407.29x = 57,610.94 × 12,114.08
  4. Step 4: Simplify right side
    38,407.29x = 697,903,187.41
  5. Step 5: Solve for x
    x = 697,903,187.41/38,407.29
  6. Step 6: Final answer
    x = 18,171.11

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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.