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Finding the Fourth Proportional to 22,575.31, 33,874.58 and 10,742.50

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Solution

The fourth proportional to 22,575.31, 33,874.58 and 10,742.50 is: 16,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.31 : 33,874.58 = 10,742.50 : x
  2. Step 2: Convert to fraction form
    22,575.31/33,874.58 = 10,742.50/x
  3. Step 3: Cross multiply
    22,575.31x = 33,874.58 × 10,742.50
  4. Step 4: Simplify right side
    22,575.31x = 363,897,619.36
  5. Step 5: Solve for x
    x = 363,897,619.36/22,575.31
  6. Step 6: Final answer
    x = 16,119.28

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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.