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Finding the Fourth Proportional to 14,460.80, 21,691.05 and 7,442.78

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Solution

The fourth proportional to 14,460.80, 21,691.05 and 7,442.78 is: 11,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.80 : 21,691.05 = 7,442.78 : x
  2. Step 2: Convert to fraction form
    14,460.80/21,691.05 = 7,442.78/x
  3. Step 3: Cross multiply
    14,460.80x = 21,691.05 × 7,442.78
  4. Step 4: Simplify right side
    14,460.80x = 161,441,713.12
  5. Step 5: Solve for x
    x = 161,441,713.12/14,460.80
  6. Step 6: Final answer
    x = 11,164.09

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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.