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Finding the Fourth Proportional to 13,777.38, 19,012.86 and 7,489.62

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Solution

The fourth proportional to 13,777.38, 19,012.86 and 7,489.62 is: 10,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.38 : 19,012.86 = 7,489.62 : x
  2. Step 2: Convert to fraction form
    13,777.38/19,012.86 = 7,489.62/x
  3. Step 3: Cross multiply
    13,777.38x = 19,012.86 × 7,489.62
  4. Step 4: Simplify right side
    13,777.38x = 142,399,096.51
  5. Step 5: Solve for x
    x = 142,399,096.51/13,777.38
  6. Step 6: Final answer
    x = 10,335.72

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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.