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Finding the Fourth Proportional to 13,343.82, 18,393.26 and 10,506.69

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Solution

The fourth proportional to 13,343.82, 18,393.26 and 10,506.69 is: 14,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.82 : 18,393.26 = 10,506.69 : x
  2. Step 2: Convert to fraction form
    13,343.82/18,393.26 = 10,506.69/x
  3. Step 3: Cross multiply
    13,343.82x = 18,393.26 × 10,506.69
  4. Step 4: Simplify right side
    13,343.82x = 193,252,228.38
  5. Step 5: Solve for x
    x = 193,252,228.38/13,343.82
  6. Step 6: Final answer
    x = 14,482.53

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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.