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Finding the Fourth Proportional to 19,444.30, 29,171.10 and 6,296.68

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Solution

The fourth proportional to 19,444.30, 29,171.10 and 6,296.68 is: 9,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,444.30 : 29,171.10 = 6,296.68 : x
  2. Step 2: Convert to fraction form
    19,444.30/29,171.10 = 6,296.68/x
  3. Step 3: Cross multiply
    19,444.30x = 29,171.10 × 6,296.68
  4. Step 4: Simplify right side
    19,444.30x = 183,681,081.95
  5. Step 5: Solve for x
    x = 183,681,081.95/19,444.30
  6. Step 6: Final answer
    x = 9,446.53

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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.