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Finding the Fourth Proportional to 24,523.92, 36,781 and 6,989.04

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Solution

The fourth proportional to 24,523.92, 36,781 and 6,989.04 is: 10,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.92 : 36,781 = 6,989.04 : x
  2. Step 2: Convert to fraction form
    24,523.92/36,781 = 6,989.04/x
  3. Step 3: Cross multiply
    24,523.92x = 36,781 × 6,989.04
  4. Step 4: Simplify right side
    24,523.92x = 257,063,880.24
  5. Step 5: Solve for x
    x = 257,063,880.24/24,523.92
  6. Step 6: Final answer
    x = 10,482.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.