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Finding the Fourth Proportional to 17,438.22, 26,168.76 and 10,413

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Solution

The fourth proportional to 17,438.22, 26,168.76 and 10,413 is: 15,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.22 : 26,168.76 = 10,413 : x
  2. Step 2: Convert to fraction form
    17,438.22/26,168.76 = 10,413/x
  3. Step 3: Cross multiply
    17,438.22x = 26,168.76 × 10,413
  4. Step 4: Simplify right side
    17,438.22x = 272,495,297.88
  5. Step 5: Solve for x
    x = 272,495,297.88/17,438.22
  6. Step 6: Final answer
    x = 15,626.33

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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.