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Finding the Fourth Proportional to 13,241.32, 19,859.42 and 4,005.16

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Solution

The fourth proportional to 13,241.32, 19,859.42 and 4,005.16 is: 6,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.32 : 19,859.42 = 4,005.16 : x
  2. Step 2: Convert to fraction form
    13,241.32/19,859.42 = 4,005.16/x
  3. Step 3: Cross multiply
    13,241.32x = 19,859.42 × 4,005.16
  4. Step 4: Simplify right side
    13,241.32x = 79,540,154.61
  5. Step 5: Solve for x
    x = 79,540,154.61/13,241.32
  6. Step 6: Final answer
    x = 6,006.97

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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.