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Finding the Fourth Proportional to 24,095.14, 36,133.72 and 8,295.71

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Solution

The fourth proportional to 24,095.14, 36,133.72 and 8,295.71 is: 12,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,095.14 : 36,133.72 = 8,295.71 : x
  2. Step 2: Convert to fraction form
    24,095.14/36,133.72 = 8,295.71/x
  3. Step 3: Cross multiply
    24,095.14x = 36,133.72 × 8,295.71
  4. Step 4: Simplify right side
    24,095.14x = 299,754,660.93
  5. Step 5: Solve for x
    x = 299,754,660.93/24,095.14
  6. Step 6: Final answer
    x = 12,440.46

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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.