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Finding the Fourth Proportional to 13,001.16, 19,498.26 and 3,640.62

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Solution

The fourth proportional to 13,001.16, 19,498.26 and 3,640.62 is: 5,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.16 : 19,498.26 = 3,640.62 : x
  2. Step 2: Convert to fraction form
    13,001.16/19,498.26 = 3,640.62/x
  3. Step 3: Cross multiply
    13,001.16x = 19,498.26 × 3,640.62
  4. Step 4: Simplify right side
    13,001.16x = 70,985,755.32
  5. Step 5: Solve for x
    x = 70,985,755.32/13,001.16
  6. Step 6: Final answer
    x = 5,459.96

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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.