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Finding the Fourth Proportional to 16,165.40, 24,248.10 and 13,249.40

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Solution

The fourth proportional to 16,165.40, 24,248.10 and 13,249.40 is: 19,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.40 : 24,248.10 = 13,249.40 : x
  2. Step 2: Convert to fraction form
    16,165.40/24,248.10 = 13,249.40/x
  3. Step 3: Cross multiply
    16,165.40x = 24,248.10 × 13,249.40
  4. Step 4: Simplify right side
    16,165.40x = 321,272,776.14
  5. Step 5: Solve for x
    x = 321,272,776.14/16,165.40
  6. Step 6: Final answer
    x = 19,874.10

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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.