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Finding the Fourth Proportional to 12,812.34, 19,218.60 and 4,047.96

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Solution

The fourth proportional to 12,812.34, 19,218.60 and 4,047.96 is: 6,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.34 : 19,218.60 = 4,047.96 : x
  2. Step 2: Convert to fraction form
    12,812.34/19,218.60 = 4,047.96/x
  3. Step 3: Cross multiply
    12,812.34x = 19,218.60 × 4,047.96
  4. Step 4: Simplify right side
    12,812.34x = 77,796,124.06
  5. Step 5: Solve for x
    x = 77,796,124.06/12,812.34
  6. Step 6: Final answer
    x = 6,071.97

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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.