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Finding the Fourth Proportional to 18,825.52, 25,980.04 and 10,442

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Solution

The fourth proportional to 18,825.52, 25,980.04 and 10,442 is: 14,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825.52 : 25,980.04 = 10,442 : x
  2. Step 2: Convert to fraction form
    18,825.52/25,980.04 = 10,442/x
  3. Step 3: Cross multiply
    18,825.52x = 25,980.04 × 10,442
  4. Step 4: Simplify right side
    18,825.52x = 271,283,577.68
  5. Step 5: Solve for x
    x = 271,283,577.68/18,825.52
  6. Step 6: Final answer
    x = 14,410.42

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1.5x scale

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.