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Finding the Fourth Proportional to 17,087.77, 23,582.33 and 9,534.61

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Solution

The fourth proportional to 17,087.77, 23,582.33 and 9,534.61 is: 13,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,087.77 : 23,582.33 = 9,534.61 : x
  2. Step 2: Convert to fraction form
    17,087.77/23,582.33 = 9,534.61/x
  3. Step 3: Cross multiply
    17,087.77x = 23,582.33 × 9,534.61
  4. Step 4: Simplify right side
    17,087.77x = 224,848,319.44
  5. Step 5: Solve for x
    x = 224,848,319.44/17,087.77
  6. Step 6: Final answer
    x = 13,158.44

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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.