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Finding the Fourth Proportional to 18,520.39, 25,557.94 and 10,022.32

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Solution

The fourth proportional to 18,520.39, 25,557.94 and 10,022.32 is: 13,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,520.39 : 25,557.94 = 10,022.32 : x
  2. Step 2: Convert to fraction form
    18,520.39/25,557.94 = 10,022.32/x
  3. Step 3: Cross multiply
    18,520.39x = 25,557.94 × 10,022.32
  4. Step 4: Simplify right side
    18,520.39x = 256,149,803.11
  5. Step 5: Solve for x
    x = 256,149,803.11/18,520.39
  6. Step 6: Final answer
    x = 13,830.70

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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.