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Finding the Fourth Proportional to 22,077.14, 33,116.10 and 9,597.17

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Solution

The fourth proportional to 22,077.14, 33,116.10 and 9,597.17 is: 14,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.14 : 33,116.10 = 9,597.17 : x
  2. Step 2: Convert to fraction form
    22,077.14/33,116.10 = 9,597.17/x
  3. Step 3: Cross multiply
    22,077.14x = 33,116.10 × 9,597.17
  4. Step 4: Simplify right side
    22,077.14x = 317,820,841.44
  5. Step 5: Solve for x
    x = 317,820,841.44/22,077.14
  6. Step 6: Final answer
    x = 14,395.92

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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.