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Finding the Fourth Proportional to 17,530.24, 24,178.02 and 11,243.20

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Solution

The fourth proportional to 17,530.24, 24,178.02 and 11,243.20 is: 15,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.24 : 24,178.02 = 11,243.20 : x
  2. Step 2: Convert to fraction form
    17,530.24/24,178.02 = 11,243.20/x
  3. Step 3: Cross multiply
    17,530.24x = 24,178.02 × 11,243.20
  4. Step 4: Simplify right side
    17,530.24x = 271,838,314.46
  5. Step 5: Solve for x
    x = 271,838,314.46/17,530.24
  6. Step 6: Final answer
    x = 15,506.82

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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.