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Finding the Fourth Proportional to 22,077.95, 30,467.87 and 12,646.50

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Solution

The fourth proportional to 22,077.95, 30,467.87 and 12,646.50 is: 17,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.95 : 30,467.87 = 12,646.50 : x
  2. Step 2: Convert to fraction form
    22,077.95/30,467.87 = 12,646.50/x
  3. Step 3: Cross multiply
    22,077.95x = 30,467.87 × 12,646.50
  4. Step 4: Simplify right side
    22,077.95x = 385,311,854.72
  5. Step 5: Solve for x
    x = 385,311,854.72/22,077.95
  6. Step 6: Final answer
    x = 17,452.34

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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.