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Finding the Fourth Proportional to 17,776, 24,530.88 and 10,324.48

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Solution

The fourth proportional to 17,776, 24,530.88 and 10,324.48 is: 14,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776 : 24,530.88 = 10,324.48 : x
  2. Step 2: Convert to fraction form
    17,776/24,530.88 = 10,324.48/x
  3. Step 3: Cross multiply
    17,776x = 24,530.88 × 10,324.48
  4. Step 4: Simplify right side
    17,776x = 253,268,579.94
  5. Step 5: Solve for x
    x = 253,268,579.94/17,776
  6. Step 6: Final answer
    x = 14,247.78

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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.