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Finding the Fourth Proportional to 12,472.14, 18,702.68 and 4,675.46

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Solution

The fourth proportional to 12,472.14, 18,702.68 and 4,675.46 is: 7,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.14 : 18,702.68 = 4,675.46 : x
  2. Step 2: Convert to fraction form
    12,472.14/18,702.68 = 4,675.46/x
  3. Step 3: Cross multiply
    12,472.14x = 18,702.68 × 4,675.46
  4. Step 4: Simplify right side
    12,472.14x = 87,443,632.23
  5. Step 5: Solve for x
    x = 87,443,632.23/12,472.14
  6. Step 6: Final answer
    x = 7,011.12

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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.