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Finding the Fourth Proportional to 17,733.46, 24,471.88 and 9,667.20

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Solution

The fourth proportional to 17,733.46, 24,471.88 and 9,667.20 is: 13,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.46 : 24,471.88 = 9,667.20 : x
  2. Step 2: Convert to fraction form
    17,733.46/24,471.88 = 9,667.20/x
  3. Step 3: Cross multiply
    17,733.46x = 24,471.88 × 9,667.20
  4. Step 4: Simplify right side
    17,733.46x = 236,574,510.00
  5. Step 5: Solve for x
    x = 236,574,510.00/17,733.46
  6. Step 6: Final answer
    x = 13,340.58

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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.