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Finding the Fourth Proportional to 21,497.80, 32,267.58 and 20,314.48

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Solution

The fourth proportional to 21,497.80, 32,267.58 and 20,314.48 is: 30,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.80 : 32,267.58 = 20,314.48 : x
  2. Step 2: Convert to fraction form
    21,497.80/32,267.58 = 20,314.48/x
  3. Step 3: Cross multiply
    21,497.80x = 32,267.58 × 20,314.48
  4. Step 4: Simplify right side
    21,497.80x = 655,499,108.56
  5. Step 5: Solve for x
    x = 655,499,108.56/21,497.80
  6. Step 6: Final answer
    x = 30,491.45

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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.