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Finding the Fourth Proportional to 21,781.84, 30,076.55 and 17,749.20

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Solution

The fourth proportional to 21,781.84, 30,076.55 and 17,749.20 is: 24,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.84 : 30,076.55 = 17,749.20 : x
  2. Step 2: Convert to fraction form
    21,781.84/30,076.55 = 17,749.20/x
  3. Step 3: Cross multiply
    21,781.84x = 30,076.55 × 17,749.20
  4. Step 4: Simplify right side
    21,781.84x = 533,834,701.26
  5. Step 5: Solve for x
    x = 533,834,701.26/21,781.84
  6. Step 6: Final answer
    x = 24,508.25

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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.