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Finding the Fourth Proportional to 12,746.50, 19,119.76 and 4,847.16

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Solution

The fourth proportional to 12,746.50, 19,119.76 and 4,847.16 is: 7,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.50 : 19,119.76 = 4,847.16 : x
  2. Step 2: Convert to fraction form
    12,746.50/19,119.76 = 4,847.16/x
  3. Step 3: Cross multiply
    12,746.50x = 19,119.76 × 4,847.16
  4. Step 4: Simplify right side
    12,746.50x = 92,676,535.88
  5. Step 5: Solve for x
    x = 92,676,535.88/12,746.50
  6. Step 6: Final answer
    x = 7,270.74

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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.