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Finding the Fourth Proportional to 12,833.68, 19,253.04 and 4,066.24

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Solution

The fourth proportional to 12,833.68, 19,253.04 and 4,066.24 is: 6,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.68 : 19,253.04 = 4,066.24 : x
  2. Step 2: Convert to fraction form
    12,833.68/19,253.04 = 4,066.24/x
  3. Step 3: Cross multiply
    12,833.68x = 19,253.04 × 4,066.24
  4. Step 4: Simplify right side
    12,833.68x = 78,287,481.37
  5. Step 5: Solve for x
    x = 78,287,481.37/12,833.68
  6. Step 6: Final answer
    x = 6,100.16

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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.