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Finding the Fourth Proportional to 12,716.81, 19,068.04 and 5,218.30

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Solution

The fourth proportional to 12,716.81, 19,068.04 and 5,218.30 is: 7,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.81 : 19,068.04 = 5,218.30 : x
  2. Step 2: Convert to fraction form
    12,716.81/19,068.04 = 5,218.30/x
  3. Step 3: Cross multiply
    12,716.81x = 19,068.04 × 5,218.30
  4. Step 4: Simplify right side
    12,716.81x = 99,502,753.13
  5. Step 5: Solve for x
    x = 99,502,753.13/12,716.81
  6. Step 6: Final answer
    x = 7,824.51

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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.