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Finding the Fourth Proportional to 13,060.36, 18,022.98 and 7,471

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Solution

The fourth proportional to 13,060.36, 18,022.98 and 7,471 is: 10,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060.36 : 18,022.98 = 7,471 : x
  2. Step 2: Convert to fraction form
    13,060.36/18,022.98 = 7,471/x
  3. Step 3: Cross multiply
    13,060.36x = 18,022.98 × 7,471
  4. Step 4: Simplify right side
    13,060.36x = 134,649,683.58
  5. Step 5: Solve for x
    x = 134,649,683.58/13,060.36
  6. Step 6: Final answer
    x = 10,309.80

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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.