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Finding the Fourth Proportional to 21,902.40, 32,853.60 and 9,614.40

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Solution

The fourth proportional to 21,902.40, 32,853.60 and 9,614.40 is: 14,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.40 : 32,853.60 = 9,614.40 : x
  2. Step 2: Convert to fraction form
    21,902.40/32,853.60 = 9,614.40/x
  3. Step 3: Cross multiply
    21,902.40x = 32,853.60 × 9,614.40
  4. Step 4: Simplify right side
    21,902.40x = 315,867,651.84
  5. Step 5: Solve for x
    x = 315,867,651.84/21,902.40
  6. Step 6: Final answer
    x = 14,421.60

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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.