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Finding the Fourth Proportional to 17,405.16, 26,105.70 and 5,715.50

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Solution

The fourth proportional to 17,405.16, 26,105.70 and 5,715.50 is: 8,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.16 : 26,105.70 = 5,715.50 : x
  2. Step 2: Convert to fraction form
    17,405.16/26,105.70 = 5,715.50/x
  3. Step 3: Cross multiply
    17,405.16x = 26,105.70 × 5,715.50
  4. Step 4: Simplify right side
    17,405.16x = 149,207,128.35
  5. Step 5: Solve for x
    x = 149,207,128.35/17,405.16
  6. Step 6: Final answer
    x = 8,572.58

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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.