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Finding the Fourth Proportional to 21,564.84, 29,759.13 and 12,133.42

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Solution

The fourth proportional to 21,564.84, 29,759.13 and 12,133.42 is: 16,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.84 : 29,759.13 = 12,133.42 : x
  2. Step 2: Convert to fraction form
    21,564.84/29,759.13 = 12,133.42/x
  3. Step 3: Cross multiply
    21,564.84x = 29,759.13 × 12,133.42
  4. Step 4: Simplify right side
    21,564.84x = 361,080,023.12
  5. Step 5: Solve for x
    x = 361,080,023.12/21,564.84
  6. Step 6: Final answer
    x = 16,743.92

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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.