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Finding the Fourth Proportional to 12,253.24, 16,902.48 and 7,534.18

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Solution

The fourth proportional to 12,253.24, 16,902.48 and 7,534.18 is: 10,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.24 : 16,902.48 = 7,534.18 : x
  2. Step 2: Convert to fraction form
    12,253.24/16,902.48 = 7,534.18/x
  3. Step 3: Cross multiply
    12,253.24x = 16,902.48 × 7,534.18
  4. Step 4: Simplify right side
    12,253.24x = 127,346,326.77
  5. Step 5: Solve for x
    x = 127,346,326.77/12,253.24
  6. Step 6: Final answer
    x = 10,392.87

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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.