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Finding the Fourth Proportional to 24,656.26, 34,026.16 and 13,478.26

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Solution

The fourth proportional to 24,656.26, 34,026.16 and 13,478.26 is: 18,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.26 : 34,026.16 = 13,478.26 : x
  2. Step 2: Convert to fraction form
    24,656.26/34,026.16 = 13,478.26/x
  3. Step 3: Cross multiply
    24,656.26x = 34,026.16 × 13,478.26
  4. Step 4: Simplify right side
    24,656.26x = 458,613,431.28
  5. Step 5: Solve for x
    x = 458,613,431.28/24,656.26
  6. Step 6: Final answer
    x = 18,600.28

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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.