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Finding the Fourth Proportional to 17,284.84, 23,853.22 and 9,833.32

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Solution

The fourth proportional to 17,284.84, 23,853.22 and 9,833.32 is: 13,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.84 : 23,853.22 = 9,833.32 : x
  2. Step 2: Convert to fraction form
    17,284.84/23,853.22 = 9,833.32/x
  3. Step 3: Cross multiply
    17,284.84x = 23,853.22 × 9,833.32
  4. Step 4: Simplify right side
    17,284.84x = 234,556,345.29
  5. Step 5: Solve for x
    x = 234,556,345.29/17,284.84
  6. Step 6: Final answer
    x = 13,570.06

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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.