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Finding the Fourth Proportional to 24,294.57, 33,526.20 and 14,228.24

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Solution

The fourth proportional to 24,294.57, 33,526.20 and 14,228.24 is: 19,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.57 : 33,526.20 = 14,228.24 : x
  2. Step 2: Convert to fraction form
    24,294.57/33,526.20 = 14,228.24/x
  3. Step 3: Cross multiply
    24,294.57x = 33,526.20 × 14,228.24
  4. Step 4: Simplify right side
    24,294.57x = 477,018,652.26
  5. Step 5: Solve for x
    x = 477,018,652.26/24,294.57
  6. Step 6: Final answer
    x = 19,634.78

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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.