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Finding the Fourth Proportional to 15,235.81, 22,856.57 and 6,916.41

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Solution

The fourth proportional to 15,235.81, 22,856.57 and 6,916.41 is: 10,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.81 : 22,856.57 = 6,916.41 : x
  2. Step 2: Convert to fraction form
    15,235.81/22,856.57 = 6,916.41/x
  3. Step 3: Cross multiply
    15,235.81x = 22,856.57 × 6,916.41
  4. Step 4: Simplify right side
    15,235.81x = 158,085,400.67
  5. Step 5: Solve for x
    x = 158,085,400.67/15,235.81
  6. Step 6: Final answer
    x = 10,375.91

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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.