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Finding the Fourth Proportional to 19,814.55, 29,713.18 and 7,493.91

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Solution

The fourth proportional to 19,814.55, 29,713.18 and 7,493.91 is: 11,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.55 : 29,713.18 = 7,493.91 : x
  2. Step 2: Convert to fraction form
    19,814.55/29,713.18 = 7,493.91/x
  3. Step 3: Cross multiply
    19,814.55x = 29,713.18 × 7,493.91
  4. Step 4: Simplify right side
    19,814.55x = 222,667,780.63
  5. Step 5: Solve for x
    x = 222,667,780.63/19,814.55
  6. Step 6: Final answer
    x = 11,237.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.