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Finding the Fourth Proportional to 12,984.60, 19,476.90 and 8,038.20

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Solution

The fourth proportional to 12,984.60, 19,476.90 and 8,038.20 is: 12,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.60 : 19,476.90 = 8,038.20 : x
  2. Step 2: Convert to fraction form
    12,984.60/19,476.90 = 8,038.20/x
  3. Step 3: Cross multiply
    12,984.60x = 19,476.90 × 8,038.20
  4. Step 4: Simplify right side
    12,984.60x = 156,559,217.58
  5. Step 5: Solve for x
    x = 156,559,217.58/12,984.60
  6. Step 6: Final answer
    x = 12,057.30

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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.