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Finding the Fourth Proportional to 26,922.25, 40,385 and 8,454.25

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Solution

The fourth proportional to 26,922.25, 40,385 and 8,454.25 is: 12,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,922.25 : 40,385 = 8,454.25 : x
  2. Step 2: Convert to fraction form
    26,922.25/40,385 = 8,454.25/x
  3. Step 3: Cross multiply
    26,922.25x = 40,385 × 8,454.25
  4. Step 4: Simplify right side
    26,922.25x = 341,424,886.25
  5. Step 5: Solve for x
    x = 341,424,886.25/26,922.25
  6. Step 6: Final answer
    x = 12,681.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.