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Finding the Fourth Proportional to 12,435.71, 17,162.82 and 7,130.43

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Solution

The fourth proportional to 12,435.71, 17,162.82 and 7,130.43 is: 9,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.71 : 17,162.82 = 7,130.43 : x
  2. Step 2: Convert to fraction form
    12,435.71/17,162.82 = 7,130.43/x
  3. Step 3: Cross multiply
    12,435.71x = 17,162.82 × 7,130.43
  4. Step 4: Simplify right side
    12,435.71x = 122,378,286.61
  5. Step 5: Solve for x
    x = 122,378,286.61/12,435.71
  6. Step 6: Final answer
    x = 9,840.88

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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.