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Finding the Fourth Proportional to 21,421.60, 32,170.80 and 15,584.80

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Solution

The fourth proportional to 21,421.60, 32,170.80 and 15,584.80 is: 23,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.60 : 32,170.80 = 15,584.80 : x
  2. Step 2: Convert to fraction form
    21,421.60/32,170.80 = 15,584.80/x
  3. Step 3: Cross multiply
    21,421.60x = 32,170.80 × 15,584.80
  4. Step 4: Simplify right side
    21,421.60x = 501,375,483.84
  5. Step 5: Solve for x
    x = 501,375,483.84/21,421.60
  6. Step 6: Final answer
    x = 23,405.14

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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.