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Finding the Fourth Proportional to 17,493.22, 24,143.16 and 10,419.76

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Solution

The fourth proportional to 17,493.22, 24,143.16 and 10,419.76 is: 14,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.22 : 24,143.16 = 10,419.76 : x
  2. Step 2: Convert to fraction form
    17,493.22/24,143.16 = 10,419.76/x
  3. Step 3: Cross multiply
    17,493.22x = 24,143.16 × 10,419.76
  4. Step 4: Simplify right side
    17,493.22x = 251,565,932.84
  5. Step 5: Solve for x
    x = 251,565,932.84/17,493.22
  6. Step 6: Final answer
    x = 14,380.77

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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.