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Finding the Fourth Proportional to 17,429.76, 24,056.82 and 10,721.07

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Solution

The fourth proportional to 17,429.76, 24,056.82 and 10,721.07 is: 14,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429.76 : 24,056.82 = 10,721.07 : x
  2. Step 2: Convert to fraction form
    17,429.76/24,056.82 = 10,721.07/x
  3. Step 3: Cross multiply
    17,429.76x = 24,056.82 × 10,721.07
  4. Step 4: Simplify right side
    17,429.76x = 257,914,851.20
  5. Step 5: Solve for x
    x = 257,914,851.20/17,429.76
  6. Step 6: Final answer
    x = 14,797.38

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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.