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Finding the Fourth Proportional to 23,882.10, 35,830.35 and 12,794.10

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Solution

The fourth proportional to 23,882.10, 35,830.35 and 12,794.10 is: 19,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.10 : 35,830.35 = 12,794.10 : x
  2. Step 2: Convert to fraction form
    23,882.10/35,830.35 = 12,794.10/x
  3. Step 3: Cross multiply
    23,882.10x = 35,830.35 × 12,794.10
  4. Step 4: Simplify right side
    23,882.10x = 458,417,080.94
  5. Step 5: Solve for x
    x = 458,417,080.94/23,882.10
  6. Step 6: Final answer
    x = 19,195.01

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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.