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Finding the Fourth Proportional to 15,157, 22,733.04 and 10,761.16

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Solution

The fourth proportional to 15,157, 22,733.04 and 10,761.16 is: 16,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157 : 22,733.04 = 10,761.16 : x
  2. Step 2: Convert to fraction form
    15,157/22,733.04 = 10,761.16/x
  3. Step 3: Cross multiply
    15,157x = 22,733.04 × 10,761.16
  4. Step 4: Simplify right side
    15,157x = 244,633,880.73
  5. Step 5: Solve for x
    x = 244,633,880.73/15,157
  6. Step 6: Final answer
    x = 16,139.99

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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.