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Finding the Fourth Proportional to 24,700.48, 34,087.20 and 13,523.20

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Solution

The fourth proportional to 24,700.48, 34,087.20 and 13,523.20 is: 18,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.48 : 34,087.20 = 13,523.20 : x
  2. Step 2: Convert to fraction form
    24,700.48/34,087.20 = 13,523.20/x
  3. Step 3: Cross multiply
    24,700.48x = 34,087.20 × 13,523.20
  4. Step 4: Simplify right side
    24,700.48x = 460,968,023.04
  5. Step 5: Solve for x
    x = 460,968,023.04/24,700.48
  6. Step 6: Final answer
    x = 18,662.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.