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Finding the Fourth Proportional to 21,841.78, 32,713.43 and 15,297.17

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Solution

The fourth proportional to 21,841.78, 32,713.43 and 15,297.17 is: 22,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.78 : 32,713.43 = 15,297.17 : x
  2. Step 2: Convert to fraction form
    21,841.78/32,713.43 = 15,297.17/x
  3. Step 3: Cross multiply
    21,841.78x = 32,713.43 × 15,297.17
  4. Step 4: Simplify right side
    21,841.78x = 500,422,823.51
  5. Step 5: Solve for x
    x = 500,422,823.51/21,841.78
  6. Step 6: Final answer
    x = 22,911.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.