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Finding the Fourth Proportional to 38,679.46, 58,020 and 12,384.13

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Solution

The fourth proportional to 38,679.46, 58,020 and 12,384.13 is: 18,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,679.46 : 58,020 = 12,384.13 : x
  2. Step 2: Convert to fraction form
    38,679.46/58,020 = 12,384.13/x
  3. Step 3: Cross multiply
    38,679.46x = 58,020 × 12,384.13
  4. Step 4: Simplify right side
    38,679.46x = 718,527,222.60
  5. Step 5: Solve for x
    x = 718,527,222.60/38,679.46
  6. Step 6: Final answer
    x = 18,576.45

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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.