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Finding the Fourth Proportional to 13,228.82, 18,256.13 and 7,260.13

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Solution

The fourth proportional to 13,228.82, 18,256.13 and 7,260.13 is: 10,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.82 : 18,256.13 = 7,260.13 : x
  2. Step 2: Convert to fraction form
    13,228.82/18,256.13 = 7,260.13/x
  3. Step 3: Cross multiply
    13,228.82x = 18,256.13 × 7,260.13
  4. Step 4: Simplify right side
    13,228.82x = 132,541,931.68
  5. Step 5: Solve for x
    x = 132,541,931.68/13,228.82
  6. Step 6: Final answer
    x = 10,019.18

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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.