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Finding the Fourth Proportional to 18,829.40, 28,244.10 and 8,461.40

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Solution

The fourth proportional to 18,829.40, 28,244.10 and 8,461.40 is: 12,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.40 : 28,244.10 = 8,461.40 : x
  2. Step 2: Convert to fraction form
    18,829.40/28,244.10 = 8,461.40/x
  3. Step 3: Cross multiply
    18,829.40x = 28,244.10 × 8,461.40
  4. Step 4: Simplify right side
    18,829.40x = 238,984,627.74
  5. Step 5: Solve for x
    x = 238,984,627.74/18,829.40
  6. Step 6: Final answer
    x = 12,692.10

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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.