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Finding the Fourth Proportional to 19,480.68, 29,184.30 and 9,608.40

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Solution

The fourth proportional to 19,480.68, 29,184.30 and 9,608.40 is: 14,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,480.68 : 29,184.30 = 9,608.40 : x
  2. Step 2: Convert to fraction form
    19,480.68/29,184.30 = 9,608.40/x
  3. Step 3: Cross multiply
    19,480.68x = 29,184.30 × 9,608.40
  4. Step 4: Simplify right side
    19,480.68x = 280,414,428.12
  5. Step 5: Solve for x
    x = 280,414,428.12/19,480.68
  6. Step 6: Final answer
    x = 14,394.49

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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.