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Finding the Fourth Proportional to 22,580.88, 33,871.34 and 9,426.07

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Solution

The fourth proportional to 22,580.88, 33,871.34 and 9,426.07 is: 14,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.88 : 33,871.34 = 9,426.07 : x
  2. Step 2: Convert to fraction form
    22,580.88/33,871.34 = 9,426.07/x
  3. Step 3: Cross multiply
    22,580.88x = 33,871.34 × 9,426.07
  4. Step 4: Simplify right side
    22,580.88x = 319,273,621.83
  5. Step 5: Solve for x
    x = 319,273,621.83/22,580.88
  6. Step 6: Final answer
    x = 14,139.11

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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.