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Finding the Fourth Proportional to 26,478.42, 36,540.47 and 14,542

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Solution

The fourth proportional to 26,478.42, 36,540.47 and 14,542 is: 20,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.42 : 36,540.47 = 14,542 : x
  2. Step 2: Convert to fraction form
    26,478.42/36,540.47 = 14,542/x
  3. Step 3: Cross multiply
    26,478.42x = 36,540.47 × 14,542
  4. Step 4: Simplify right side
    26,478.42x = 531,371,514.74
  5. Step 5: Solve for x
    x = 531,371,514.74/26,478.42
  6. Step 6: Final answer
    x = 20,068.10

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