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Finding the Fourth Proportional to 16,011.14, 24,017.06 and 4,165.38

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Solution

The fourth proportional to 16,011.14, 24,017.06 and 4,165.38 is: 6,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.14 : 24,017.06 = 4,165.38 : x
  2. Step 2: Convert to fraction form
    16,011.14/24,017.06 = 4,165.38/x
  3. Step 3: Cross multiply
    16,011.14x = 24,017.06 × 4,165.38
  4. Step 4: Simplify right side
    16,011.14x = 100,040,181.38
  5. Step 5: Solve for x
    x = 100,040,181.38/16,011.14
  6. Step 6: Final answer
    x = 6,248.16

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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.