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Finding the Fourth Proportional to 22,064.42, 33,096.58 and 9,582.84

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Solution

The fourth proportional to 22,064.42, 33,096.58 and 9,582.84 is: 14,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,064.42 : 33,096.58 = 9,582.84 : x
  2. Step 2: Convert to fraction form
    22,064.42/33,096.58 = 9,582.84/x
  3. Step 3: Cross multiply
    22,064.42x = 33,096.58 × 9,582.84
  4. Step 4: Simplify right side
    22,064.42x = 317,159,206.73
  5. Step 5: Solve for x
    x = 317,159,206.73/22,064.42
  6. Step 6: Final answer
    x = 14,374.24

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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.