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Finding the Fourth Proportional to 38,486, 57,738.72 and 10,784

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Solution

The fourth proportional to 38,486, 57,738.72 and 10,784 is: 16,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486 : 57,738.72 = 10,784 : x
  2. Step 2: Convert to fraction form
    38,486/57,738.72 = 10,784/x
  3. Step 3: Cross multiply
    38,486x = 57,738.72 × 10,784
  4. Step 4: Simplify right side
    38,486x = 622,654,356.48
  5. Step 5: Solve for x
    x = 622,654,356.48/38,486
  6. Step 6: Final answer
    x = 16,178.72

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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.