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Finding the Fourth Proportional to 16,024.92, 24,033.06 and 7,251

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Solution

The fourth proportional to 16,024.92, 24,033.06 and 7,251 is: 10,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.92 : 24,033.06 = 7,251 : x
  2. Step 2: Convert to fraction form
    16,024.92/24,033.06 = 7,251/x
  3. Step 3: Cross multiply
    16,024.92x = 24,033.06 × 7,251
  4. Step 4: Simplify right side
    16,024.92x = 174,263,718.06
  5. Step 5: Solve for x
    x = 174,263,718.06/16,024.92
  6. Step 6: Final answer
    x = 10,874.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.