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Finding the Fourth Proportional to 13,748.42, 18,972.69 and 7,460.66

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Solution

The fourth proportional to 13,748.42, 18,972.69 and 7,460.66 is: 10,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748.42 : 18,972.69 = 7,460.66 : x
  2. Step 2: Convert to fraction form
    13,748.42/18,972.69 = 7,460.66/x
  3. Step 3: Cross multiply
    13,748.42x = 18,972.69 × 7,460.66
  4. Step 4: Simplify right side
    13,748.42x = 141,548,789.38
  5. Step 5: Solve for x
    x = 141,548,789.38/13,748.42
  6. Step 6: Final answer
    x = 10,295.64

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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.