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Finding the Fourth Proportional to 15,138.46, 20,890.74 and 8,423.83

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Solution

The fourth proportional to 15,138.46, 20,890.74 and 8,423.83 is: 11,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.46 : 20,890.74 = 8,423.83 : x
  2. Step 2: Convert to fraction form
    15,138.46/20,890.74 = 8,423.83/x
  3. Step 3: Cross multiply
    15,138.46x = 20,890.74 × 8,423.83
  4. Step 4: Simplify right side
    15,138.46x = 175,980,042.33
  5. Step 5: Solve for x
    x = 175,980,042.33/15,138.46
  6. Step 6: Final answer
    x = 11,624.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.