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Finding the Fourth Proportional to 21,794.39, 32,686.72 and 10,106.09

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Solution

The fourth proportional to 21,794.39, 32,686.72 and 10,106.09 is: 15,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.39 : 32,686.72 = 10,106.09 : x
  2. Step 2: Convert to fraction form
    21,794.39/32,686.72 = 10,106.09/x
  3. Step 3: Cross multiply
    21,794.39x = 32,686.72 × 10,106.09
  4. Step 4: Simplify right side
    21,794.39x = 330,334,934.12
  5. Step 5: Solve for x
    x = 330,334,934.12/21,794.39
  6. Step 6: Final answer
    x = 15,156.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.