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Finding the Fourth Proportional to 17,766.91, 24,516.24 and 10,597.22

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Solution

The fourth proportional to 17,766.91, 24,516.24 and 10,597.22 is: 14,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.91 : 24,516.24 = 10,597.22 : x
  2. Step 2: Convert to fraction form
    17,766.91/24,516.24 = 10,597.22/x
  3. Step 3: Cross multiply
    17,766.91x = 24,516.24 × 10,597.22
  4. Step 4: Simplify right side
    17,766.91x = 259,803,918.47
  5. Step 5: Solve for x
    x = 259,803,918.47/17,766.91
  6. Step 6: Final answer
    x = 14,622.91

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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.