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Finding the Fourth Proportional to 18,677.68, 28,013.26 and 6,829

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Solution

The fourth proportional to 18,677.68, 28,013.26 and 6,829 is: 10,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677.68 : 28,013.26 = 6,829 : x
  2. Step 2: Convert to fraction form
    18,677.68/28,013.26 = 6,829/x
  3. Step 3: Cross multiply
    18,677.68x = 28,013.26 × 6,829
  4. Step 4: Simplify right side
    18,677.68x = 191,302,552.54
  5. Step 5: Solve for x
    x = 191,302,552.54/18,677.68
  6. Step 6: Final answer
    x = 10,242.31

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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.