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Finding the Fourth Proportional to 15,883.20, 23,824.80 and 13,348.80

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Solution

The fourth proportional to 15,883.20, 23,824.80 and 13,348.80 is: 20,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.20 : 23,824.80 = 13,348.80 : x
  2. Step 2: Convert to fraction form
    15,883.20/23,824.80 = 13,348.80/x
  3. Step 3: Cross multiply
    15,883.20x = 23,824.80 × 13,348.80
  4. Step 4: Simplify right side
    15,883.20x = 318,032,490.24
  5. Step 5: Solve for x
    x = 318,032,490.24/15,883.20
  6. Step 6: Final answer
    x = 20,023.20

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1.5x scale

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.