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Finding the Fourth Proportional to 16,526.56, 22,806.32 and 9,074.56

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Solution

The fourth proportional to 16,526.56, 22,806.32 and 9,074.56 is: 12,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.56 : 22,806.32 = 9,074.56 : x
  2. Step 2: Convert to fraction form
    16,526.56/22,806.32 = 9,074.56/x
  3. Step 3: Cross multiply
    16,526.56x = 22,806.32 × 9,074.56
  4. Step 4: Simplify right side
    16,526.56x = 206,957,319.22
  5. Step 5: Solve for x
    x = 206,957,319.22/16,526.56
  6. Step 6: Final answer
    x = 12,522.71

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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.