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Finding the Fourth Proportional to 13,748.31, 18,972.74 and 7,460.69

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Solution

The fourth proportional to 13,748.31, 18,972.74 and 7,460.69 is: 10,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748.31 : 18,972.74 = 7,460.69 : x
  2. Step 2: Convert to fraction form
    13,748.31/18,972.74 = 7,460.69/x
  3. Step 3: Cross multiply
    13,748.31x = 18,972.74 × 7,460.69
  4. Step 4: Simplify right side
    13,748.31x = 141,549,655.38
  5. Step 5: Solve for x
    x = 141,549,655.38/13,748.31
  6. Step 6: Final answer
    x = 10,295.79

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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.