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Finding the Fourth Proportional to 21,683.43, 32,501.79 and 14,184.15

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Solution

The fourth proportional to 21,683.43, 32,501.79 and 14,184.15 is: 21,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.43 : 32,501.79 = 14,184.15 : x
  2. Step 2: Convert to fraction form
    21,683.43/32,501.79 = 14,184.15/x
  3. Step 3: Cross multiply
    21,683.43x = 32,501.79 × 14,184.15
  4. Step 4: Simplify right side
    21,683.43x = 461,010,142.75
  5. Step 5: Solve for x
    x = 461,010,142.75/21,683.43
  6. Step 6: Final answer
    x = 21,260.94

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