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Finding the Fourth Proportional to 17,154.63, 23,678.06 and 10,083.33

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Solution

The fourth proportional to 17,154.63, 23,678.06 and 10,083.33 is: 13,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.63 : 23,678.06 = 10,083.33 : x
  2. Step 2: Convert to fraction form
    17,154.63/23,678.06 = 10,083.33/x
  3. Step 3: Cross multiply
    17,154.63x = 23,678.06 × 10,083.33
  4. Step 4: Simplify right side
    17,154.63x = 238,753,642.32
  5. Step 5: Solve for x
    x = 238,753,642.32/17,154.63
  6. Step 6: Final answer
    x = 13,917.74

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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.