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Finding the Fourth Proportional to 22,106.58, 33,158.79 and 8,254.50

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Solution

The fourth proportional to 22,106.58, 33,158.79 and 8,254.50 is: 12,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.58 : 33,158.79 = 8,254.50 : x
  2. Step 2: Convert to fraction form
    22,106.58/33,158.79 = 8,254.50/x
  3. Step 3: Cross multiply
    22,106.58x = 33,158.79 × 8,254.50
  4. Step 4: Simplify right side
    22,106.58x = 273,709,232.06
  5. Step 5: Solve for x
    x = 273,709,232.06/22,106.58
  6. Step 6: Final answer
    x = 12,381.35

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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.