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Finding the Fourth Proportional to 17,652.84, 26,472.32 and 6,405.50

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Solution

The fourth proportional to 17,652.84, 26,472.32 and 6,405.50 is: 9,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.84 : 26,472.32 = 6,405.50 : x
  2. Step 2: Convert to fraction form
    17,652.84/26,472.32 = 6,405.50/x
  3. Step 3: Cross multiply
    17,652.84x = 26,472.32 × 6,405.50
  4. Step 4: Simplify right side
    17,652.84x = 169,568,445.76
  5. Step 5: Solve for x
    x = 169,568,445.76/17,652.84
  6. Step 6: Final answer
    x = 9,605.73

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Why These Related Problems?

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