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Finding the Fourth Proportional to 21,643.80, 32,471.45 and 6,853.02

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Solution

The fourth proportional to 21,643.80, 32,471.45 and 6,853.02 is: 10,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.80 : 32,471.45 = 6,853.02 : x
  2. Step 2: Convert to fraction form
    21,643.80/32,471.45 = 6,853.02/x
  3. Step 3: Cross multiply
    21,643.80x = 32,471.45 × 6,853.02
  4. Step 4: Simplify right side
    21,643.80x = 222,527,496.28
  5. Step 5: Solve for x
    x = 222,527,496.28/21,643.80
  6. Step 6: Final answer
    x = 10,281.35

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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.