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Finding the Fourth Proportional to 24,619.33, 33,963.06 and 17,902

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Solution

The fourth proportional to 24,619.33, 33,963.06 and 17,902 is: 24,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,619.33 : 33,963.06 = 17,902 : x
  2. Step 2: Convert to fraction form
    24,619.33/33,963.06 = 17,902/x
  3. Step 3: Cross multiply
    24,619.33x = 33,963.06 × 17,902
  4. Step 4: Simplify right side
    24,619.33x = 608,006,700.12
  5. Step 5: Solve for x
    x = 608,006,700.12/24,619.33
  6. Step 6: Final answer
    x = 24,696.31

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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.