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Finding the Fourth Proportional to 21,400.80, 32,079.60 and 9,722.40

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Solution

The fourth proportional to 21,400.80, 32,079.60 and 9,722.40 is: 14,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.80 : 32,079.60 = 9,722.40 : x
  2. Step 2: Convert to fraction form
    21,400.80/32,079.60 = 9,722.40/x
  3. Step 3: Cross multiply
    21,400.80x = 32,079.60 × 9,722.40
  4. Step 4: Simplify right side
    21,400.80x = 311,890,703.04
  5. Step 5: Solve for x
    x = 311,890,703.04/21,400.80
  6. Step 6: Final answer
    x = 14,573.79

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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.