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Finding the Fourth Proportional to 17,229.76, 23,742 and 16,300

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Solution

The fourth proportional to 17,229.76, 23,742 and 16,300 is: 22,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.76 : 23,742 = 16,300 : x
  2. Step 2: Convert to fraction form
    17,229.76/23,742 = 16,300/x
  3. Step 3: Cross multiply
    17,229.76x = 23,742 × 16,300
  4. Step 4: Simplify right side
    17,229.76x = 386,994,600
  5. Step 5: Solve for x
    x = 386,994,600/17,229.76
  6. Step 6: Final answer
    x = 22,460.82

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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.