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Finding the Fourth Proportional to 22,507.84, 33,763.20 and 8,656.84

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Solution

The fourth proportional to 22,507.84, 33,763.20 and 8,656.84 is: 12,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.84 : 33,763.20 = 8,656.84 : x
  2. Step 2: Convert to fraction form
    22,507.84/33,763.20 = 8,656.84/x
  3. Step 3: Cross multiply
    22,507.84x = 33,763.20 × 8,656.84
  4. Step 4: Simplify right side
    22,507.84x = 292,282,620.29
  5. Step 5: Solve for x
    x = 292,282,620.29/22,507.84
  6. Step 6: Final answer
    x = 12,985.81

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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.