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Finding the Fourth Proportional to 22,351.60, 33,533.67 and 6,557

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Solution

The fourth proportional to 22,351.60, 33,533.67 and 6,557 is: 9,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351.60 : 33,533.67 = 6,557 : x
  2. Step 2: Convert to fraction form
    22,351.60/33,533.67 = 6,557/x
  3. Step 3: Cross multiply
    22,351.60x = 33,533.67 × 6,557
  4. Step 4: Simplify right side
    22,351.60x = 219,880,274.19
  5. Step 5: Solve for x
    x = 219,880,274.19/22,351.60
  6. Step 6: Final answer
    x = 9,837.34

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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.