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Finding the Fourth Proportional to 24,318.24, 36,478.98 and 7,678.95

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Solution

The fourth proportional to 24,318.24, 36,478.98 and 7,678.95 is: 11,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318.24 : 36,478.98 = 7,678.95 : x
  2. Step 2: Convert to fraction form
    24,318.24/36,478.98 = 7,678.95/x
  3. Step 3: Cross multiply
    24,318.24x = 36,478.98 × 7,678.95
  4. Step 4: Simplify right side
    24,318.24x = 280,120,263.47
  5. Step 5: Solve for x
    x = 280,120,263.47/24,318.24
  6. Step 6: Final answer
    x = 11,518.94

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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.