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Finding the Fourth Proportional to 12,400.02, 17,114.97 and 7,097.89

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Solution

The fourth proportional to 12,400.02, 17,114.97 and 7,097.89 is: 9,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.02 : 17,114.97 = 7,097.89 : x
  2. Step 2: Convert to fraction form
    12,400.02/17,114.97 = 7,097.89/x
  3. Step 3: Cross multiply
    12,400.02x = 17,114.97 × 7,097.89
  4. Step 4: Simplify right side
    12,400.02x = 121,480,174.41
  5. Step 5: Solve for x
    x = 121,480,174.41/12,400.02
  6. Step 6: Final answer
    x = 9,796.77

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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.