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Finding the Fourth Proportional to 10,223.75, 15,252.50 and 9,268.83

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Solution

The fourth proportional to 10,223.75, 15,252.50 and 9,268.83 is: 13,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.75 : 15,252.50 = 9,268.83 : x
  2. Step 2: Convert to fraction form
    10,223.75/15,252.50 = 9,268.83/x
  3. Step 3: Cross multiply
    10,223.75x = 15,252.50 × 9,268.83
  4. Step 4: Simplify right side
    10,223.75x = 141,372,852.75
  5. Step 5: Solve for x
    x = 141,372,852.75/10,223.75
  6. Step 6: Final answer
    x = 13,827.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.