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Finding the Fourth Proportional to 12,781.53, 17,637.26 and 7,475.31

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Solution

The fourth proportional to 12,781.53, 17,637.26 and 7,475.31 is: 10,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.53 : 17,637.26 = 7,475.31 : x
  2. Step 2: Convert to fraction form
    12,781.53/17,637.26 = 7,475.31/x
  3. Step 3: Cross multiply
    12,781.53x = 17,637.26 × 7,475.31
  4. Step 4: Simplify right side
    12,781.53x = 131,843,948.67
  5. Step 5: Solve for x
    x = 131,843,948.67/12,781.53
  6. Step 6: Final answer
    x = 10,315.19

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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.