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Finding the Fourth Proportional to 16,219.81, 24,295.52 and 10,293.57

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Solution

The fourth proportional to 16,219.81, 24,295.52 and 10,293.57 is: 15,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.81 : 24,295.52 = 10,293.57 : x
  2. Step 2: Convert to fraction form
    16,219.81/24,295.52 = 10,293.57/x
  3. Step 3: Cross multiply
    16,219.81x = 24,295.52 × 10,293.57
  4. Step 4: Simplify right side
    16,219.81x = 250,087,752.17
  5. Step 5: Solve for x
    x = 250,087,752.17/16,219.81
  6. Step 6: Final answer
    x = 15,418.66

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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.