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Finding the Fourth Proportional to 13,448.61, 18,560 and 7,480.83

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Solution

The fourth proportional to 13,448.61, 18,560 and 7,480.83 is: 10,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.61 : 18,560 = 7,480.83 : x
  2. Step 2: Convert to fraction form
    13,448.61/18,560 = 7,480.83/x
  3. Step 3: Cross multiply
    13,448.61x = 18,560 × 7,480.83
  4. Step 4: Simplify right side
    13,448.61x = 138,844,204.80
  5. Step 5: Solve for x
    x = 138,844,204.80/13,448.61
  6. Step 6: Final answer
    x = 10,324.06

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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.