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Finding the Fourth Proportional to 17,857.73, 24,644.51 and 9,900.14

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Solution

The fourth proportional to 17,857.73, 24,644.51 and 9,900.14 is: 13,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.73 : 24,644.51 = 9,900.14 : x
  2. Step 2: Convert to fraction form
    17,857.73/24,644.51 = 9,900.14/x
  3. Step 3: Cross multiply
    17,857.73x = 24,644.51 × 9,900.14
  4. Step 4: Simplify right side
    17,857.73x = 243,983,926.51
  5. Step 5: Solve for x
    x = 243,983,926.51/17,857.73
  6. Step 6: Final answer
    x = 13,662.65

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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.