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Finding the Fourth Proportional to 17,074.76, 25,594.50 and 6,542.32

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Solution

The fourth proportional to 17,074.76, 25,594.50 and 6,542.32 is: 9,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074.76 : 25,594.50 = 6,542.32 : x
  2. Step 2: Convert to fraction form
    17,074.76/25,594.50 = 6,542.32/x
  3. Step 3: Cross multiply
    17,074.76x = 25,594.50 × 6,542.32
  4. Step 4: Simplify right side
    17,074.76x = 167,447,409.24
  5. Step 5: Solve for x
    x = 167,447,409.24/17,074.76
  6. Step 6: Final answer
    x = 9,806.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.