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Finding the Fourth Proportional to 38,976, 58,434.80 and 12,665.04

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Solution

The fourth proportional to 38,976, 58,434.80 and 12,665.04 is: 18,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,976 : 58,434.80 = 12,665.04 : x
  2. Step 2: Convert to fraction form
    38,976/58,434.80 = 12,665.04/x
  3. Step 3: Cross multiply
    38,976x = 58,434.80 × 12,665.04
  4. Step 4: Simplify right side
    38,976x = 740,079,079.39
  5. Step 5: Solve for x
    x = 740,079,079.39/38,976
  6. Step 6: Final answer
    x = 18,988.07

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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.