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Finding the Fourth Proportional to 21,398.56, 32,024.32 and 13,497.42

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Solution

The fourth proportional to 21,398.56, 32,024.32 and 13,497.42 is: 20,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.56 : 32,024.32 = 13,497.42 : x
  2. Step 2: Convert to fraction form
    21,398.56/32,024.32 = 13,497.42/x
  3. Step 3: Cross multiply
    21,398.56x = 32,024.32 × 13,497.42
  4. Step 4: Simplify right side
    21,398.56x = 432,245,697.25
  5. Step 5: Solve for x
    x = 432,245,697.25/21,398.56
  6. Step 6: Final answer
    x = 20,199.76

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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.