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Finding the Fourth Proportional to 12,781.72, 17,637.51 and 7,475.50

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Solution

The fourth proportional to 12,781.72, 17,637.51 and 7,475.50 is: 10,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.72 : 17,637.51 = 7,475.50 : x
  2. Step 2: Convert to fraction form
    12,781.72/17,637.51 = 7,475.50/x
  3. Step 3: Cross multiply
    12,781.72x = 17,637.51 × 7,475.50
  4. Step 4: Simplify right side
    12,781.72x = 131,849,161.91
  5. Step 5: Solve for x
    x = 131,849,161.91/12,781.72
  6. Step 6: Final answer
    x = 10,315.45

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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.