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Finding the Fourth Proportional to 12,414.87, 17,122.84 and 10,298.95

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Solution

The fourth proportional to 12,414.87, 17,122.84 and 10,298.95 is: 14,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.87 : 17,122.84 = 10,298.95 : x
  2. Step 2: Convert to fraction form
    12,414.87/17,122.84 = 10,298.95/x
  3. Step 3: Cross multiply
    12,414.87x = 17,122.84 × 10,298.95
  4. Step 4: Simplify right side
    12,414.87x = 176,347,262.40
  5. Step 5: Solve for x
    x = 176,347,262.40/12,414.87
  6. Step 6: Final answer
    x = 14,204.52

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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.