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Finding the Fourth Proportional to 17,077.55, 23,564.66 and 9,522.97

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Solution

The fourth proportional to 17,077.55, 23,564.66 and 9,522.97 is: 13,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.55 : 23,564.66 = 9,522.97 : x
  2. Step 2: Convert to fraction form
    17,077.55/23,564.66 = 9,522.97/x
  3. Step 3: Cross multiply
    17,077.55x = 23,564.66 × 9,522.97
  4. Step 4: Simplify right side
    17,077.55x = 224,405,443.71
  5. Step 5: Solve for x
    x = 224,405,443.71/17,077.55
  6. Step 6: Final answer
    x = 13,140.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.