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Finding the Fourth Proportional to 13,437.65, 20,128.74 and 7,874.12

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Solution

The fourth proportional to 13,437.65, 20,128.74 and 7,874.12 is: 11,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.65 : 20,128.74 = 7,874.12 : x
  2. Step 2: Convert to fraction form
    13,437.65/20,128.74 = 7,874.12/x
  3. Step 3: Cross multiply
    13,437.65x = 20,128.74 × 7,874.12
  4. Step 4: Simplify right side
    13,437.65x = 158,496,013.57
  5. Step 5: Solve for x
    x = 158,496,013.57/13,437.65
  6. Step 6: Final answer
    x = 11,794.92

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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.