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Finding the Fourth Proportional to 12,400.70, 17,113.34 and 7,097.22

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Solution

The fourth proportional to 12,400.70, 17,113.34 and 7,097.22 is: 9,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.70 : 17,113.34 = 7,097.22 : x
  2. Step 2: Convert to fraction form
    12,400.70/17,113.34 = 7,097.22/x
  3. Step 3: Cross multiply
    12,400.70x = 17,113.34 × 7,097.22
  4. Step 4: Simplify right side
    12,400.70x = 121,457,156.66
  5. Step 5: Solve for x
    x = 121,457,156.66/12,400.70
  6. Step 6: Final answer
    x = 9,794.38

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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.