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Finding the Fourth Proportional to 17,587.46, 26,373.20 and 7,587.48

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Solution

The fourth proportional to 17,587.46, 26,373.20 and 7,587.48 is: 11,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,587.46 : 26,373.20 = 7,587.48 : x
  2. Step 2: Convert to fraction form
    17,587.46/26,373.20 = 7,587.48/x
  3. Step 3: Cross multiply
    17,587.46x = 26,373.20 × 7,587.48
  4. Step 4: Simplify right side
    17,587.46x = 200,106,146.50
  5. Step 5: Solve for x
    x = 200,106,146.50/17,587.46
  6. Step 6: Final answer
    x = 11,377.78

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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.