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Finding the Fourth Proportional to 21,854.96, 30,159.44 and 12,781.17

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Solution

The fourth proportional to 21,854.96, 30,159.44 and 12,781.17 is: 17,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.96 : 30,159.44 = 12,781.17 : x
  2. Step 2: Convert to fraction form
    21,854.96/30,159.44 = 12,781.17/x
  3. Step 3: Cross multiply
    21,854.96x = 30,159.44 × 12,781.17
  4. Step 4: Simplify right side
    21,854.96x = 385,472,865.84
  5. Step 5: Solve for x
    x = 385,472,865.84/21,854.96
  6. Step 6: Final answer
    x = 17,637.78

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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.