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Finding the Fourth Proportional to 12,472.40, 17,211.76 and 6,807.24

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Solution

The fourth proportional to 12,472.40, 17,211.76 and 6,807.24 is: 9,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.40 : 17,211.76 = 6,807.24 : x
  2. Step 2: Convert to fraction form
    12,472.40/17,211.76 = 6,807.24/x
  3. Step 3: Cross multiply
    12,472.40x = 17,211.76 × 6,807.24
  4. Step 4: Simplify right side
    12,472.40x = 117,164,581.14
  5. Step 5: Solve for x
    x = 117,164,581.14/12,472.40
  6. Step 6: Final answer
    x = 9,393.91

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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.