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Finding the Fourth Proportional to 18,829.43, 28,222.23 and 13,853

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Solution

The fourth proportional to 18,829.43, 28,222.23 and 13,853 is: 20,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.43 : 28,222.23 = 13,853 : x
  2. Step 2: Convert to fraction form
    18,829.43/28,222.23 = 13,853/x
  3. Step 3: Cross multiply
    18,829.43x = 28,222.23 × 13,853
  4. Step 4: Simplify right side
    18,829.43x = 390,962,552.19
  5. Step 5: Solve for x
    x = 390,962,552.19/18,829.43
  6. Step 6: Final answer
    x = 20,763.38

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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.