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Finding the Fourth Proportional to 24,278.84, 36,422.34 and 11,821.04

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Solution

The fourth proportional to 24,278.84, 36,422.34 and 11,821.04 is: 17,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.84 : 36,422.34 = 11,821.04 : x
  2. Step 2: Convert to fraction form
    24,278.84/36,422.34 = 11,821.04/x
  3. Step 3: Cross multiply
    24,278.84x = 36,422.34 × 11,821.04
  4. Step 4: Simplify right side
    24,278.84x = 430,549,938.03
  5. Step 5: Solve for x
    x = 430,549,938.03/24,278.84
  6. Step 6: Final answer
    x = 17,733.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.