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Finding the Fourth Proportional to 21,685.86, 29,890.62 and 14,513.31

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Solution

The fourth proportional to 21,685.86, 29,890.62 and 14,513.31 is: 20,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.86 : 29,890.62 = 14,513.31 : x
  2. Step 2: Convert to fraction form
    21,685.86/29,890.62 = 14,513.31/x
  3. Step 3: Cross multiply
    21,685.86x = 29,890.62 × 14,513.31
  4. Step 4: Simplify right side
    21,685.86x = 433,811,834.15
  5. Step 5: Solve for x
    x = 433,811,834.15/21,685.86
  6. Step 6: Final answer
    x = 20,004.36

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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.