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Finding the Fourth Proportional to 22,159.76, 33,239.64 and 17,546

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Solution

The fourth proportional to 22,159.76, 33,239.64 and 17,546 is: 26,319

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.76 : 33,239.64 = 17,546 : x
  2. Step 2: Convert to fraction form
    22,159.76/33,239.64 = 17,546/x
  3. Step 3: Cross multiply
    22,159.76x = 33,239.64 × 17,546
  4. Step 4: Simplify right side
    22,159.76x = 583,222,723.44
  5. Step 5: Solve for x
    x = 583,222,723.44/22,159.76
  6. Step 6: Final answer
    x = 26,319

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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.