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Finding the Fourth Proportional to 22,378.22, 33,567.32 and 10,655.90

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Solution

The fourth proportional to 22,378.22, 33,567.32 and 10,655.90 is: 15,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.22 : 33,567.32 = 10,655.90 : x
  2. Step 2: Convert to fraction form
    22,378.22/33,567.32 = 10,655.90/x
  3. Step 3: Cross multiply
    22,378.22x = 33,567.32 × 10,655.90
  4. Step 4: Simplify right side
    22,378.22x = 357,689,863.99
  5. Step 5: Solve for x
    x = 357,689,863.99/22,378.22
  6. Step 6: Final answer
    x = 15,983.84

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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.