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Finding the Fourth Proportional to 21,393.60, 32,104.80 and 9,700.80

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Solution

The fourth proportional to 21,393.60, 32,104.80 and 9,700.80 is: 14,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,393.60 : 32,104.80 = 9,700.80 : x
  2. Step 2: Convert to fraction form
    21,393.60/32,104.80 = 9,700.80/x
  3. Step 3: Cross multiply
    21,393.60x = 32,104.80 × 9,700.80
  4. Step 4: Simplify right side
    21,393.60x = 311,442,243.84
  5. Step 5: Solve for x
    x = 311,442,243.84/21,393.60
  6. Step 6: Final answer
    x = 14,557.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.