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Finding the Fourth Proportional to 23,892.24, 32,956.02 and 15,405.24

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Solution

The fourth proportional to 23,892.24, 32,956.02 and 15,405.24 is: 21,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.24 : 32,956.02 = 15,405.24 : x
  2. Step 2: Convert to fraction form
    23,892.24/32,956.02 = 15,405.24/x
  3. Step 3: Cross multiply
    23,892.24x = 32,956.02 × 15,405.24
  4. Step 4: Simplify right side
    23,892.24x = 507,695,397.54
  5. Step 5: Solve for x
    x = 507,695,397.54/23,892.24
  6. Step 6: Final answer
    x = 21,249.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.