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Finding the Fourth Proportional to 26,775, 36,948.96 and 14,838.24

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Solution

The fourth proportional to 26,775, 36,948.96 and 14,838.24 is: 20,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,775 : 36,948.96 = 14,838.24 : x
  2. Step 2: Convert to fraction form
    26,775/36,948.96 = 14,838.24/x
  3. Step 3: Cross multiply
    26,775x = 36,948.96 × 14,838.24
  4. Step 4: Simplify right side
    26,775x = 548,257,536.23
  5. Step 5: Solve for x
    x = 548,257,536.23/26,775
  6. Step 6: Final answer
    x = 20,476.47

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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.