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Finding the Fourth Proportional to 38,564.40, 57,842.96 and 12,264.51

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Solution

The fourth proportional to 38,564.40, 57,842.96 and 12,264.51 is: 18,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.40 : 57,842.96 = 12,264.51 : x
  2. Step 2: Convert to fraction form
    38,564.40/57,842.96 = 12,264.51/x
  3. Step 3: Cross multiply
    38,564.40x = 57,842.96 × 12,264.51
  4. Step 4: Simplify right side
    38,564.40x = 709,415,785.93
  5. Step 5: Solve for x
    x = 709,415,785.93/38,564.40
  6. Step 6: Final answer
    x = 18,395.61

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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.