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Finding the Fourth Proportional to 12,414.74, 17,156.92 and 10,173.08

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Solution

The fourth proportional to 12,414.74, 17,156.92 and 10,173.08 is: 14,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.74 : 17,156.92 = 10,173.08 : x
  2. Step 2: Convert to fraction form
    12,414.74/17,156.92 = 10,173.08/x
  3. Step 3: Cross multiply
    12,414.74x = 17,156.92 × 10,173.08
  4. Step 4: Simplify right side
    12,414.74x = 174,538,719.71
  5. Step 5: Solve for x
    x = 174,538,719.71/12,414.74
  6. Step 6: Final answer
    x = 14,058.99

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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.