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Finding the Fourth Proportional to 12,899.66, 19,349.08 and 3,665.66

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Solution

The fourth proportional to 12,899.66, 19,349.08 and 3,665.66 is: 5,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.66 : 19,349.08 = 3,665.66 : x
  2. Step 2: Convert to fraction form
    12,899.66/19,349.08 = 3,665.66/x
  3. Step 3: Cross multiply
    12,899.66x = 19,349.08 × 3,665.66
  4. Step 4: Simplify right side
    12,899.66x = 70,927,042.68
  5. Step 5: Solve for x
    x = 70,927,042.68/12,899.66
  6. Step 6: Final answer
    x = 5,498.37

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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.