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Finding the Fourth Proportional to 17,771.88, 24,525.14 and 10,698.69

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Solution

The fourth proportional to 17,771.88, 24,525.14 and 10,698.69 is: 14,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.88 : 24,525.14 = 10,698.69 : x
  2. Step 2: Convert to fraction form
    17,771.88/24,525.14 = 10,698.69/x
  3. Step 3: Cross multiply
    17,771.88x = 24,525.14 × 10,698.69
  4. Step 4: Simplify right side
    17,771.88x = 262,386,816.57
  5. Step 5: Solve for x
    x = 262,386,816.57/17,771.88
  6. Step 6: Final answer
    x = 14,764.16

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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.