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Finding the Fourth Proportional to 22,338.10, 30,829.03 and 12,778.87

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Solution

The fourth proportional to 22,338.10, 30,829.03 and 12,778.87 is: 17,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.10 : 30,829.03 = 12,778.87 : x
  2. Step 2: Convert to fraction form
    22,338.10/30,829.03 = 12,778.87/x
  3. Step 3: Cross multiply
    22,338.10x = 30,829.03 × 12,778.87
  4. Step 4: Simplify right side
    22,338.10x = 393,960,012.45
  5. Step 5: Solve for x
    x = 393,960,012.45/22,338.10
  6. Step 6: Final answer
    x = 17,636.24

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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.