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Finding the Fourth Proportional to 18,348, 25,320.24 and 9,964.68

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Solution

The fourth proportional to 18,348, 25,320.24 and 9,964.68 is: 13,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,348 : 25,320.24 = 9,964.68 : x
  2. Step 2: Convert to fraction form
    18,348/25,320.24 = 9,964.68/x
  3. Step 3: Cross multiply
    18,348x = 25,320.24 × 9,964.68
  4. Step 4: Simplify right side
    18,348x = 252,308,089.12
  5. Step 5: Solve for x
    x = 252,308,089.12/18,348
  6. Step 6: Final answer
    x = 13,751.26

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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.