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Finding the Fourth Proportional to 17,578.66, 24,254.80 and 10,410.83

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Solution

The fourth proportional to 17,578.66, 24,254.80 and 10,410.83 is: 14,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.66 : 24,254.80 = 10,410.83 : x
  2. Step 2: Convert to fraction form
    17,578.66/24,254.80 = 10,410.83/x
  3. Step 3: Cross multiply
    17,578.66x = 24,254.80 × 10,410.83
  4. Step 4: Simplify right side
    17,578.66x = 252,512,599.48
  5. Step 5: Solve for x
    x = 252,512,599.48/17,578.66
  6. Step 6: Final answer
    x = 14,364.72

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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.