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Finding the Fourth Proportional to 22,437.64, 33,656.64 and 9,289.84

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Solution

The fourth proportional to 22,437.64, 33,656.64 and 9,289.84 is: 13,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,437.64 : 33,656.64 = 9,289.84 : x
  2. Step 2: Convert to fraction form
    22,437.64/33,656.64 = 9,289.84/x
  3. Step 3: Cross multiply
    22,437.64x = 33,656.64 × 9,289.84
  4. Step 4: Simplify right side
    22,437.64x = 312,664,800.54
  5. Step 5: Solve for x
    x = 312,664,800.54/22,437.64
  6. Step 6: Final answer
    x = 13,934.83

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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.