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Finding the Fourth Proportional to 19,397.84, 29,109.50 and 10,638.90

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Solution

The fourth proportional to 19,397.84, 29,109.50 and 10,638.90 is: 15,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,397.84 : 29,109.50 = 10,638.90 : x
  2. Step 2: Convert to fraction form
    19,397.84/29,109.50 = 10,638.90/x
  3. Step 3: Cross multiply
    19,397.84x = 29,109.50 × 10,638.90
  4. Step 4: Simplify right side
    19,397.84x = 309,693,006.36
  5. Step 5: Solve for x
    x = 309,693,006.36/19,397.84
  6. Step 6: Final answer
    x = 15,965.34

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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.