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Finding the Fourth Proportional to 22,125.40, 33,188.10 and 10,461.40

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Solution

The fourth proportional to 22,125.40, 33,188.10 and 10,461.40 is: 15,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,125.40 : 33,188.10 = 10,461.40 : x
  2. Step 2: Convert to fraction form
    22,125.40/33,188.10 = 10,461.40/x
  3. Step 3: Cross multiply
    22,125.40x = 33,188.10 × 10,461.40
  4. Step 4: Simplify right side
    22,125.40x = 347,193,989.34
  5. Step 5: Solve for x
    x = 347,193,989.34/22,125.40
  6. Step 6: Final answer
    x = 15,692.10

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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.