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Finding the Fourth Proportional to 17,077.52, 23,567.10 and 9,524.34

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Solution

The fourth proportional to 17,077.52, 23,567.10 and 9,524.34 is: 13,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.52 : 23,567.10 = 9,524.34 : x
  2. Step 2: Convert to fraction form
    17,077.52/23,567.10 = 9,524.34/x
  3. Step 3: Cross multiply
    17,077.52x = 23,567.10 × 9,524.34
  4. Step 4: Simplify right side
    17,077.52x = 224,461,073.21
  5. Step 5: Solve for x
    x = 224,461,073.21/17,077.52
  6. Step 6: Final answer
    x = 13,143.66

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