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Finding the Fourth Proportional to 20,880.39, 31,322.40 and 5,298

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Solution

The fourth proportional to 20,880.39, 31,322.40 and 5,298 is: 7,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880.39 : 31,322.40 = 5,298 : x
  2. Step 2: Convert to fraction form
    20,880.39/31,322.40 = 5,298/x
  3. Step 3: Cross multiply
    20,880.39x = 31,322.40 × 5,298
  4. Step 4: Simplify right side
    20,880.39x = 165,946,075.20
  5. Step 5: Solve for x
    x = 165,946,075.20/20,880.39
  6. Step 6: Final answer
    x = 7,947.46

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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.