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Finding the Fourth Proportional to 21,514.70, 29,683.86 and 13,019.96

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Solution

The fourth proportional to 21,514.70, 29,683.86 and 13,019.96 is: 17,963.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.70 : 29,683.86 = 13,019.96 : x
  2. Step 2: Convert to fraction form
    21,514.70/29,683.86 = 13,019.96/x
  3. Step 3: Cross multiply
    21,514.70x = 29,683.86 × 13,019.96
  4. Step 4: Simplify right side
    21,514.70x = 386,482,669.85
  5. Step 5: Solve for x
    x = 386,482,669.85/21,514.70
  6. Step 6: Final answer
    x = 17,963.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.