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Finding the Fourth Proportional to 12,816.71, 19,213.32 and 4,492.19

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Solution

The fourth proportional to 12,816.71, 19,213.32 and 4,492.19 is: 6,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.71 : 19,213.32 = 4,492.19 : x
  2. Step 2: Convert to fraction form
    12,816.71/19,213.32 = 4,492.19/x
  3. Step 3: Cross multiply
    12,816.71x = 19,213.32 × 4,492.19
  4. Step 4: Simplify right side
    12,816.71x = 86,309,883.97
  5. Step 5: Solve for x
    x = 86,309,883.97/12,816.71
  6. Step 6: Final answer
    x = 6,734.17

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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.