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Finding the Fourth Proportional to 17,761.74, 24,511.02 and 9,804.04

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Solution

The fourth proportional to 17,761.74, 24,511.02 and 9,804.04 is: 13,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.74 : 24,511.02 = 9,804.04 : x
  2. Step 2: Convert to fraction form
    17,761.74/24,511.02 = 9,804.04/x
  3. Step 3: Cross multiply
    17,761.74x = 24,511.02 × 9,804.04
  4. Step 4: Simplify right side
    17,761.74x = 240,307,020.52
  5. Step 5: Solve for x
    x = 240,307,020.52/17,761.74
  6. Step 6: Final answer
    x = 13,529.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.