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Finding the Fourth Proportional to 21,733.84, 29,991 and 12,781.68

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Solution

The fourth proportional to 21,733.84, 29,991 and 12,781.68 is: 17,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,733.84 : 29,991 = 12,781.68 : x
  2. Step 2: Convert to fraction form
    21,733.84/29,991 = 12,781.68/x
  3. Step 3: Cross multiply
    21,733.84x = 29,991 × 12,781.68
  4. Step 4: Simplify right side
    21,733.84x = 383,335,364.88
  5. Step 5: Solve for x
    x = 383,335,364.88/21,733.84
  6. Step 6: Final answer
    x = 17,637.72

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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.