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Finding the Fourth Proportional to 12,597, 17,380.24 and 8,123.36

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Solution

The fourth proportional to 12,597, 17,380.24 and 8,123.36 is: 11,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597 : 17,380.24 = 8,123.36 : x
  2. Step 2: Convert to fraction form
    12,597/17,380.24 = 8,123.36/x
  3. Step 3: Cross multiply
    12,597x = 17,380.24 × 8,123.36
  4. Step 4: Simplify right side
    12,597x = 141,185,946.41
  5. Step 5: Solve for x
    x = 141,185,946.41/12,597
  6. Step 6: Final answer
    x = 11,207.90

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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.