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Finding the Fourth Proportional to 18,078.32, 24,938.52 and 10,622

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Solution

The fourth proportional to 18,078.32, 24,938.52 and 10,622 is: 14,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.32 : 24,938.52 = 10,622 : x
  2. Step 2: Convert to fraction form
    18,078.32/24,938.52 = 10,622/x
  3. Step 3: Cross multiply
    18,078.32x = 24,938.52 × 10,622
  4. Step 4: Simplify right side
    18,078.32x = 264,896,959.44
  5. Step 5: Solve for x
    x = 264,896,959.44/18,078.32
  6. Step 6: Final answer
    x = 14,652.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.