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Finding the Fourth Proportional to 19,965.40, 29,948.10 and 12,578.20

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Solution

The fourth proportional to 19,965.40, 29,948.10 and 12,578.20 is: 18,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.40 : 29,948.10 = 12,578.20 : x
  2. Step 2: Convert to fraction form
    19,965.40/29,948.10 = 12,578.20/x
  3. Step 3: Cross multiply
    19,965.40x = 29,948.10 × 12,578.20
  4. Step 4: Simplify right side
    19,965.40x = 376,693,191.42
  5. Step 5: Solve for x
    x = 376,693,191.42/19,965.40
  6. Step 6: Final answer
    x = 18,867.30

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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.