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Finding the Fourth Proportional to 24,220.84, 36,333.08 and 9,423.40

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Solution

The fourth proportional to 24,220.84, 36,333.08 and 9,423.40 is: 14,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,220.84 : 36,333.08 = 9,423.40 : x
  2. Step 2: Convert to fraction form
    24,220.84/36,333.08 = 9,423.40/x
  3. Step 3: Cross multiply
    24,220.84x = 36,333.08 × 9,423.40
  4. Step 4: Simplify right side
    24,220.84x = 342,381,146.07
  5. Step 5: Solve for x
    x = 342,381,146.07/24,220.84
  6. Step 6: Final answer
    x = 14,135.81

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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.