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Finding the Fourth Proportional to 13,214.15, 19,807.78 and 8,287.23

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Solution

The fourth proportional to 13,214.15, 19,807.78 and 8,287.23 is: 12,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.15 : 19,807.78 = 8,287.23 : x
  2. Step 2: Convert to fraction form
    13,214.15/19,807.78 = 8,287.23/x
  3. Step 3: Cross multiply
    13,214.15x = 19,807.78 × 8,287.23
  4. Step 4: Simplify right side
    13,214.15x = 164,151,628.65
  5. Step 5: Solve for x
    x = 164,151,628.65/13,214.15
  6. Step 6: Final answer
    x = 12,422.41

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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.