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Finding the Fourth Proportional to 12,395.71, 17,105.02 and 7,089.49

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Solution

The fourth proportional to 12,395.71, 17,105.02 and 7,089.49 is: 9,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.71 : 17,105.02 = 7,089.49 : x
  2. Step 2: Convert to fraction form
    12,395.71/17,105.02 = 7,089.49/x
  3. Step 3: Cross multiply
    12,395.71x = 17,105.02 × 7,089.49
  4. Step 4: Simplify right side
    12,395.71x = 121,265,868.24
  5. Step 5: Solve for x
    x = 121,265,868.24/12,395.71
  6. Step 6: Final answer
    x = 9,782.89

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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.