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Finding the Fourth Proportional to 19,709.18, 29,354.68 and 19,613.78

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Solution

The fourth proportional to 19,709.18, 29,354.68 and 19,613.78 is: 29,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.18 : 29,354.68 = 19,613.78 : x
  2. Step 2: Convert to fraction form
    19,709.18/29,354.68 = 19,613.78/x
  3. Step 3: Cross multiply
    19,709.18x = 29,354.68 × 19,613.78
  4. Step 4: Simplify right side
    19,709.18x = 575,756,235.49
  5. Step 5: Solve for x
    x = 575,756,235.49/19,709.18
  6. Step 6: Final answer
    x = 29,212.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.