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Finding the Fourth Proportional to 22,374.35, 33,559.21 and 7,582.89

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Solution

The fourth proportional to 22,374.35, 33,559.21 and 7,582.89 is: 11,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374.35 : 33,559.21 = 7,582.89 : x
  2. Step 2: Convert to fraction form
    22,374.35/33,559.21 = 7,582.89/x
  3. Step 3: Cross multiply
    22,374.35x = 33,559.21 × 7,582.89
  4. Step 4: Simplify right side
    22,374.35x = 254,475,797.92
  5. Step 5: Solve for x
    x = 254,475,797.92/22,374.35
  6. Step 6: Final answer
    x = 11,373.55

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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.