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Finding the Fourth Proportional to 13,860, 19,126.80 and 7,572.42

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Solution

The fourth proportional to 13,860, 19,126.80 and 7,572.42 is: 10,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 19,126.80 = 7,572.42 : x
  2. Step 2: Convert to fraction form
    13,860/19,126.80 = 7,572.42/x
  3. Step 3: Cross multiply
    13,860x = 19,126.80 × 7,572.42
  4. Step 4: Simplify right side
    13,860x = 144,836,162.86
  5. Step 5: Solve for x
    x = 144,836,162.86/13,860
  6. Step 6: Final answer
    x = 10,449.94

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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.