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Finding the Fourth Proportional to 24,522.40, 36,783.60 and 15,767.20

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Solution

The fourth proportional to 24,522.40, 36,783.60 and 15,767.20 is: 23,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.40 : 36,783.60 = 15,767.20 : x
  2. Step 2: Convert to fraction form
    24,522.40/36,783.60 = 15,767.20/x
  3. Step 3: Cross multiply
    24,522.40x = 36,783.60 × 15,767.20
  4. Step 4: Simplify right side
    24,522.40x = 579,974,377.92
  5. Step 5: Solve for x
    x = 579,974,377.92/24,522.40
  6. Step 6: Final answer
    x = 23,650.80

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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.