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Finding the Fourth Proportional to 22,833.77, 34,218.45 and 10,813.16

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Solution

The fourth proportional to 22,833.77, 34,218.45 and 10,813.16 is: 16,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.77 : 34,218.45 = 10,813.16 : x
  2. Step 2: Convert to fraction form
    22,833.77/34,218.45 = 10,813.16/x
  3. Step 3: Cross multiply
    22,833.77x = 34,218.45 × 10,813.16
  4. Step 4: Simplify right side
    22,833.77x = 370,009,660.35
  5. Step 5: Solve for x
    x = 370,009,660.35/22,833.77
  6. Step 6: Final answer
    x = 16,204.50

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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.