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Finding the Fourth Proportional to 24,671.84, 37,002.45 and 7,806.18

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Solution

The fourth proportional to 24,671.84, 37,002.45 and 7,806.18 is: 11,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.84 : 37,002.45 = 7,806.18 : x
  2. Step 2: Convert to fraction form
    24,671.84/37,002.45 = 7,806.18/x
  3. Step 3: Cross multiply
    24,671.84x = 37,002.45 × 7,806.18
  4. Step 4: Simplify right side
    24,671.84x = 288,847,785.14
  5. Step 5: Solve for x
    x = 288,847,785.14/24,671.84
  6. Step 6: Final answer
    x = 11,707.59

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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.