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Finding the Fourth Proportional to 12,837.93, 17,648.33 and 11,038.82

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Solution

The fourth proportional to 12,837.93, 17,648.33 and 11,038.82 is: 15,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.93 : 17,648.33 = 11,038.82 : x
  2. Step 2: Convert to fraction form
    12,837.93/17,648.33 = 11,038.82/x
  3. Step 3: Cross multiply
    12,837.93x = 17,648.33 × 11,038.82
  4. Step 4: Simplify right side
    12,837.93x = 194,816,731.28
  5. Step 5: Solve for x
    x = 194,816,731.28/12,837.93
  6. Step 6: Final answer
    x = 15,175.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.