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Finding the Fourth Proportional to 38,338.65, 57,510.61 and 13,384.98

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Solution

The fourth proportional to 38,338.65, 57,510.61 and 13,384.98 is: 20,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338.65 : 57,510.61 = 13,384.98 : x
  2. Step 2: Convert to fraction form
    38,338.65/57,510.61 = 13,384.98/x
  3. Step 3: Cross multiply
    38,338.65x = 57,510.61 × 13,384.98
  4. Step 4: Simplify right side
    38,338.65x = 769,778,331.18
  5. Step 5: Solve for x
    x = 769,778,331.18/38,338.65
  6. Step 6: Final answer
    x = 20,078.39

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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.