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Finding the Fourth Proportional to 12,435.53, 17,182.87 and 9,938.24

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Solution

The fourth proportional to 12,435.53, 17,182.87 and 9,938.24 is: 13,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.53 : 17,182.87 = 9,938.24 : x
  2. Step 2: Convert to fraction form
    12,435.53/17,182.87 = 9,938.24/x
  3. Step 3: Cross multiply
    12,435.53x = 17,182.87 × 9,938.24
  4. Step 4: Simplify right side
    12,435.53x = 170,767,578.21
  5. Step 5: Solve for x
    x = 170,767,578.21/12,435.53
  6. Step 6: Final answer
    x = 13,732.24

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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.