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Finding the Fourth Proportional to 14,262.78, 19,680.25 and 8,294.70

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Solution

The fourth proportional to 14,262.78, 19,680.25 and 8,294.70 is: 11,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.78 : 19,680.25 = 8,294.70 : x
  2. Step 2: Convert to fraction form
    14,262.78/19,680.25 = 8,294.70/x
  3. Step 3: Cross multiply
    14,262.78x = 19,680.25 × 8,294.70
  4. Step 4: Simplify right side
    14,262.78x = 163,241,728.20
  5. Step 5: Solve for x
    x = 163,241,728.20/14,262.78
  6. Step 6: Final answer
    x = 11,445.30

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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.