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Finding the Fourth Proportional to 19,683.61, 29,514.48 and 14,139.56

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Solution

The fourth proportional to 19,683.61, 29,514.48 and 14,139.56 is: 21,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.61 : 29,514.48 = 14,139.56 : x
  2. Step 2: Convert to fraction form
    19,683.61/29,514.48 = 14,139.56/x
  3. Step 3: Cross multiply
    19,683.61x = 29,514.48 × 14,139.56
  4. Step 4: Simplify right side
    19,683.61x = 417,321,781.59
  5. Step 5: Solve for x
    x = 417,321,781.59/19,683.61
  6. Step 6: Final answer
    x = 21,201.49

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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.