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Finding the Fourth Proportional to 12,400.42, 17,113.98 and 7,096

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Solution

The fourth proportional to 12,400.42, 17,113.98 and 7,096 is: 9,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.42 : 17,113.98 = 7,096 : x
  2. Step 2: Convert to fraction form
    12,400.42/17,113.98 = 7,096/x
  3. Step 3: Cross multiply
    12,400.42x = 17,113.98 × 7,096
  4. Step 4: Simplify right side
    12,400.42x = 121,440,802.08
  5. Step 5: Solve for x
    x = 121,440,802.08/12,400.42
  6. Step 6: Final answer
    x = 9,793.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.