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Finding the Fourth Proportional to 24,868.92, 34,319.24 and 13,538.48

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Solution

The fourth proportional to 24,868.92, 34,319.24 and 13,538.48 is: 18,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868.92 : 34,319.24 = 13,538.48 : x
  2. Step 2: Convert to fraction form
    24,868.92/34,319.24 = 13,538.48/x
  3. Step 3: Cross multiply
    24,868.92x = 34,319.24 × 13,538.48
  4. Step 4: Simplify right side
    24,868.92x = 464,630,344.36
  5. Step 5: Solve for x
    x = 464,630,344.36/24,868.92
  6. Step 6: Final answer
    x = 18,683.17

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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.