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Finding the Fourth Proportional to 13,463.33, 18,581.67 and 7,797.15

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Solution

The fourth proportional to 13,463.33, 18,581.67 and 7,797.15 is: 10,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.33 : 18,581.67 = 7,797.15 : x
  2. Step 2: Convert to fraction form
    13,463.33/18,581.67 = 7,797.15/x
  3. Step 3: Cross multiply
    13,463.33x = 18,581.67 × 7,797.15
  4. Step 4: Simplify right side
    13,463.33x = 144,884,068.24
  5. Step 5: Solve for x
    x = 144,884,068.24/13,463.33
  6. Step 6: Final answer
    x = 10,761.39

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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.