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Finding the Fourth Proportional to 17,200.90, 23,737.02 and 9,649.15

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Solution

The fourth proportional to 17,200.90, 23,737.02 and 9,649.15 is: 13,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.90 : 23,737.02 = 9,649.15 : x
  2. Step 2: Convert to fraction form
    17,200.90/23,737.02 = 9,649.15/x
  3. Step 3: Cross multiply
    17,200.90x = 23,737.02 × 9,649.15
  4. Step 4: Simplify right side
    17,200.90x = 229,042,066.53
  5. Step 5: Solve for x
    x = 229,042,066.53/17,200.90
  6. Step 6: Final answer
    x = 13,315.70

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1.5x scale

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.