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Finding the Fourth Proportional to 19,408.71, 29,113.23 and 10,638.84

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Solution

The fourth proportional to 19,408.71, 29,113.23 and 10,638.84 is: 15,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.71 : 29,113.23 = 10,638.84 : x
  2. Step 2: Convert to fraction form
    19,408.71/29,113.23 = 10,638.84/x
  3. Step 3: Cross multiply
    19,408.71x = 29,113.23 × 10,638.84
  4. Step 4: Simplify right side
    19,408.71x = 309,730,995.85
  5. Step 5: Solve for x
    x = 309,730,995.85/19,408.71
  6. Step 6: Final answer
    x = 15,958.35

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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.