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Finding the Fourth Proportional to 21,673.28, 29,909.76 and 12,242.24

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Solution

The fourth proportional to 21,673.28, 29,909.76 and 12,242.24 is: 16,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.28 : 29,909.76 = 12,242.24 : x
  2. Step 2: Convert to fraction form
    21,673.28/29,909.76 = 12,242.24/x
  3. Step 3: Cross multiply
    21,673.28x = 29,909.76 × 12,242.24
  4. Step 4: Simplify right side
    21,673.28x = 366,162,460.26
  5. Step 5: Solve for x
    x = 366,162,460.26/21,673.28
  6. Step 6: Final answer
    x = 16,894.65

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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.