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Finding the Fourth Proportional to 12,861.40, 19,281.30 and 6,705.40

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Solution

The fourth proportional to 12,861.40, 19,281.30 and 6,705.40 is: 10,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.40 : 19,281.30 = 6,705.40 : x
  2. Step 2: Convert to fraction form
    12,861.40/19,281.30 = 6,705.40/x
  3. Step 3: Cross multiply
    12,861.40x = 19,281.30 × 6,705.40
  4. Step 4: Simplify right side
    12,861.40x = 129,288,829.02
  5. Step 5: Solve for x
    x = 129,288,829.02/12,861.40
  6. Step 6: Final answer
    x = 10,052.47

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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.