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Finding the Fourth Proportional to 21,614.44, 32,419.98 and 6,823.80

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Solution

The fourth proportional to 21,614.44, 32,419.98 and 6,823.80 is: 10,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.44 : 32,419.98 = 6,823.80 : x
  2. Step 2: Convert to fraction form
    21,614.44/32,419.98 = 6,823.80/x
  3. Step 3: Cross multiply
    21,614.44x = 32,419.98 × 6,823.80
  4. Step 4: Simplify right side
    21,614.44x = 221,227,459.52
  5. Step 5: Solve for x
    x = 221,227,459.52/21,614.44
  6. Step 6: Final answer
    x = 10,235.17

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1.5x scale

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.