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Finding the Fourth Proportional to 12,812.92, 19,220.46 and 4,047.64

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Solution

The fourth proportional to 12,812.92, 19,220.46 and 4,047.64 is: 6,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.92 : 19,220.46 = 4,047.64 : x
  2. Step 2: Convert to fraction form
    12,812.92/19,220.46 = 4,047.64/x
  3. Step 3: Cross multiply
    12,812.92x = 19,220.46 × 4,047.64
  4. Step 4: Simplify right side
    12,812.92x = 77,797,502.71
  5. Step 5: Solve for x
    x = 77,797,502.71/12,812.92
  6. Step 6: Final answer
    x = 6,071.80

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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.