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Finding the Fourth Proportional to 17,159.64, 23,678.10 and 10,083.48

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Solution

The fourth proportional to 17,159.64, 23,678.10 and 10,083.48 is: 13,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,159.64 : 23,678.10 = 10,083.48 : x
  2. Step 2: Convert to fraction form
    17,159.64/23,678.10 = 10,083.48/x
  3. Step 3: Cross multiply
    17,159.64x = 23,678.10 × 10,083.48
  4. Step 4: Simplify right side
    17,159.64x = 238,757,647.79
  5. Step 5: Solve for x
    x = 238,757,647.79/17,159.64
  6. Step 6: Final answer
    x = 13,913.91

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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.