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Finding the Fourth Proportional to 12,462.29, 17,199.80 and 7,429.46

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Solution

The fourth proportional to 12,462.29, 17,199.80 and 7,429.46 is: 10,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.29 : 17,199.80 = 7,429.46 : x
  2. Step 2: Convert to fraction form
    12,462.29/17,199.80 = 7,429.46/x
  3. Step 3: Cross multiply
    12,462.29x = 17,199.80 × 7,429.46
  4. Step 4: Simplify right side
    12,462.29x = 127,785,102.96
  5. Step 5: Solve for x
    x = 127,785,102.96/12,462.29
  6. Step 6: Final answer
    x = 10,253.75

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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.