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Finding the Fourth Proportional to 12,562.50, 18,843.75 and 5,170.98

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Solution

The fourth proportional to 12,562.50, 18,843.75 and 5,170.98 is: 7,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.50 : 18,843.75 = 5,170.98 : x
  2. Step 2: Convert to fraction form
    12,562.50/18,843.75 = 5,170.98/x
  3. Step 3: Cross multiply
    12,562.50x = 18,843.75 × 5,170.98
  4. Step 4: Simplify right side
    12,562.50x = 97,440,654.38
  5. Step 5: Solve for x
    x = 97,440,654.38/12,562.50
  6. Step 6: Final answer
    x = 7,756.47

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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.