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Finding the Fourth Proportional to 24,194.34, 36,274.50 and 9,390.78

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Solution

The fourth proportional to 24,194.34, 36,274.50 and 9,390.78 is: 14,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.34 : 36,274.50 = 9,390.78 : x
  2. Step 2: Convert to fraction form
    24,194.34/36,274.50 = 9,390.78/x
  3. Step 3: Cross multiply
    24,194.34x = 36,274.50 × 9,390.78
  4. Step 4: Simplify right side
    24,194.34x = 340,645,849.11
  5. Step 5: Solve for x
    x = 340,645,849.11/24,194.34
  6. Step 6: Final answer
    x = 14,079.57

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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.