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Finding the Fourth Proportional to 13,902.66, 19,182.69 and 8,239.19

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Solution

The fourth proportional to 13,902.66, 19,182.69 and 8,239.19 is: 11,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.66 : 19,182.69 = 8,239.19 : x
  2. Step 2: Convert to fraction form
    13,902.66/19,182.69 = 8,239.19/x
  3. Step 3: Cross multiply
    13,902.66x = 19,182.69 × 8,239.19
  4. Step 4: Simplify right side
    13,902.66x = 158,049,731.71
  5. Step 5: Solve for x
    x = 158,049,731.71/13,902.66
  6. Step 6: Final answer
    x = 11,368.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.