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Finding the Fourth Proportional to 22,199.34, 33,282.60 and 10,498.86

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Solution

The fourth proportional to 22,199.34, 33,282.60 and 10,498.86 is: 15,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.34 : 33,282.60 = 10,498.86 : x
  2. Step 2: Convert to fraction form
    22,199.34/33,282.60 = 10,498.86/x
  3. Step 3: Cross multiply
    22,199.34x = 33,282.60 × 10,498.86
  4. Step 4: Simplify right side
    22,199.34x = 349,429,357.84
  5. Step 5: Solve for x
    x = 349,429,357.84/22,199.34
  6. Step 6: Final answer
    x = 15,740.53

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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.