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Finding the Fourth Proportional to 17,696, 26,526.16 and 11,126.88

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Solution

The fourth proportional to 17,696, 26,526.16 and 11,126.88 is: 16,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696 : 26,526.16 = 11,126.88 : x
  2. Step 2: Convert to fraction form
    17,696/26,526.16 = 11,126.88/x
  3. Step 3: Cross multiply
    17,696x = 26,526.16 × 11,126.88
  4. Step 4: Simplify right side
    17,696x = 295,153,399.18
  5. Step 5: Solve for x
    x = 295,153,399.18/17,696
  6. Step 6: Final answer
    x = 16,679.10

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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.