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Finding the Fourth Proportional to 16,241.76, 24,348.06 and 13,486.14

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Solution

The fourth proportional to 16,241.76, 24,348.06 and 13,486.14 is: 20,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.76 : 24,348.06 = 13,486.14 : x
  2. Step 2: Convert to fraction form
    16,241.76/24,348.06 = 13,486.14/x
  3. Step 3: Cross multiply
    16,241.76x = 24,348.06 × 13,486.14
  4. Step 4: Simplify right side
    16,241.76x = 328,361,345.89
  5. Step 5: Solve for x
    x = 328,361,345.89/16,241.76
  6. Step 6: Final answer
    x = 20,217.10

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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.