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Finding the Fourth Proportional to 38,320.20, 57,476.88 and 13,356

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Solution

The fourth proportional to 38,320.20, 57,476.88 and 13,356 is: 20,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,320.20 : 57,476.88 = 13,356 : x
  2. Step 2: Convert to fraction form
    38,320.20/57,476.88 = 13,356/x
  3. Step 3: Cross multiply
    38,320.20x = 57,476.88 × 13,356
  4. Step 4: Simplify right side
    38,320.20x = 767,661,209.28
  5. Step 5: Solve for x
    x = 767,661,209.28/38,320.20
  6. Step 6: Final answer
    x = 20,032.81

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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.