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Finding the Fourth Proportional to 17,074.69, 23,563.17 and 9,521.50

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Solution

The fourth proportional to 17,074.69, 23,563.17 and 9,521.50 is: 13,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074.69 : 23,563.17 = 9,521.50 : x
  2. Step 2: Convert to fraction form
    17,074.69/23,563.17 = 9,521.50/x
  3. Step 3: Cross multiply
    17,074.69x = 23,563.17 × 9,521.50
  4. Step 4: Simplify right side
    17,074.69x = 224,356,723.16
  5. Step 5: Solve for x
    x = 224,356,723.16/17,074.69
  6. Step 6: Final answer
    x = 13,139.72

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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.