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Finding the Fourth Proportional to 24,205.34, 36,307.02 and 6,674.70

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Solution

The fourth proportional to 24,205.34, 36,307.02 and 6,674.70 is: 10,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.34 : 36,307.02 = 6,674.70 : x
  2. Step 2: Convert to fraction form
    24,205.34/36,307.02 = 6,674.70/x
  3. Step 3: Cross multiply
    24,205.34x = 36,307.02 × 6,674.70
  4. Step 4: Simplify right side
    24,205.34x = 242,338,466.39
  5. Step 5: Solve for x
    x = 242,338,466.39/24,205.34
  6. Step 6: Final answer
    x = 10,011.78

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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.