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Finding the Fourth Proportional to 17,567.76, 26,359.38 and 6,471.84

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Solution

The fourth proportional to 17,567.76, 26,359.38 and 6,471.84 is: 9,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.76 : 26,359.38 = 6,471.84 : x
  2. Step 2: Convert to fraction form
    17,567.76/26,359.38 = 6,471.84/x
  3. Step 3: Cross multiply
    17,567.76x = 26,359.38 × 6,471.84
  4. Step 4: Simplify right side
    17,567.76x = 170,593,689.86
  5. Step 5: Solve for x
    x = 170,593,689.86/17,567.76
  6. Step 6: Final answer
    x = 9,710.61

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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.