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Finding the Fourth Proportional to 12,346.90, 18,496.05 and 7,401.85

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Solution

The fourth proportional to 12,346.90, 18,496.05 and 7,401.85 is: 11,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.90 : 18,496.05 = 7,401.85 : x
  2. Step 2: Convert to fraction form
    12,346.90/18,496.05 = 7,401.85/x
  3. Step 3: Cross multiply
    12,346.90x = 18,496.05 × 7,401.85
  4. Step 4: Simplify right side
    12,346.90x = 136,904,987.69
  5. Step 5: Solve for x
    x = 136,904,987.69/12,346.90
  6. Step 6: Final answer
    x = 11,088.21

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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.