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Finding the Fourth Proportional to 17,402.40, 26,081.52 and 8,148

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Solution

The fourth proportional to 17,402.40, 26,081.52 and 8,148 is: 12,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.40 : 26,081.52 = 8,148 : x
  2. Step 2: Convert to fraction form
    17,402.40/26,081.52 = 8,148/x
  3. Step 3: Cross multiply
    17,402.40x = 26,081.52 × 8,148
  4. Step 4: Simplify right side
    17,402.40x = 212,512,224.96
  5. Step 5: Solve for x
    x = 212,512,224.96/17,402.40
  6. Step 6: Final answer
    x = 12,211.66

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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.