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Finding the Fourth Proportional to 12,472.50, 18,708.75 and 6,316.50

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Solution

The fourth proportional to 12,472.50, 18,708.75 and 6,316.50 is: 9,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.50 : 18,708.75 = 6,316.50 : x
  2. Step 2: Convert to fraction form
    12,472.50/18,708.75 = 6,316.50/x
  3. Step 3: Cross multiply
    12,472.50x = 18,708.75 × 6,316.50
  4. Step 4: Simplify right side
    12,472.50x = 118,173,819.38
  5. Step 5: Solve for x
    x = 118,173,819.38/12,472.50
  6. Step 6: Final answer
    x = 9,474.75

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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.