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Finding the Fourth Proportional to 19,684.19, 29,521.02 and 13,443.14

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Solution

The fourth proportional to 19,684.19, 29,521.02 and 13,443.14 is: 20,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.19 : 29,521.02 = 13,443.14 : x
  2. Step 2: Convert to fraction form
    19,684.19/29,521.02 = 13,443.14/x
  3. Step 3: Cross multiply
    19,684.19x = 29,521.02 × 13,443.14
  4. Step 4: Simplify right side
    19,684.19x = 396,855,204.80
  5. Step 5: Solve for x
    x = 396,855,204.80/19,684.19
  6. Step 6: Final answer
    x = 20,161.11

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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.