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Finding the Fourth Proportional to 17,695.70, 24,415.65 and 11,400.50

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Solution

The fourth proportional to 17,695.70, 24,415.65 and 11,400.50 is: 15,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.70 : 24,415.65 = 11,400.50 : x
  2. Step 2: Convert to fraction form
    17,695.70/24,415.65 = 11,400.50/x
  3. Step 3: Cross multiply
    17,695.70x = 24,415.65 × 11,400.50
  4. Step 4: Simplify right side
    17,695.70x = 278,350,617.83
  5. Step 5: Solve for x
    x = 278,350,617.83/17,695.70
  6. Step 6: Final answer
    x = 15,729.84

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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.