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Finding the Fourth Proportional to 16,050.74, 24,085.68 and 7,165.38

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Solution

The fourth proportional to 16,050.74, 24,085.68 and 7,165.38 is: 10,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,050.74 : 24,085.68 = 7,165.38 : x
  2. Step 2: Convert to fraction form
    16,050.74/24,085.68 = 7,165.38/x
  3. Step 3: Cross multiply
    16,050.74x = 24,085.68 × 7,165.38
  4. Step 4: Simplify right side
    16,050.74x = 172,583,049.76
  5. Step 5: Solve for x
    x = 172,583,049.76/16,050.74
  6. Step 6: Final answer
    x = 10,752.34

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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.