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Finding the Fourth Proportional to 15,867.48, 23,813.22 and 10,813.08

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Solution

The fourth proportional to 15,867.48, 23,813.22 and 10,813.08 is: 16,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867.48 : 23,813.22 = 10,813.08 : x
  2. Step 2: Convert to fraction form
    15,867.48/23,813.22 = 10,813.08/x
  3. Step 3: Cross multiply
    15,867.48x = 23,813.22 × 10,813.08
  4. Step 4: Simplify right side
    15,867.48x = 257,494,252.92
  5. Step 5: Solve for x
    x = 257,494,252.92/15,867.48
  6. Step 6: Final answer
    x = 16,227.80

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Why These Related Problems?

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