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Finding the Fourth Proportional to 17,704.16, 24,415.80 and 14,729.84

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Solution

The fourth proportional to 17,704.16, 24,415.80 and 14,729.84 is: 20,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.16 : 24,415.80 = 14,729.84 : x
  2. Step 2: Convert to fraction form
    17,704.16/24,415.80 = 14,729.84/x
  3. Step 3: Cross multiply
    17,704.16x = 24,415.80 × 14,729.84
  4. Step 4: Simplify right side
    17,704.16x = 359,640,827.47
  5. Step 5: Solve for x
    x = 359,640,827.47/17,704.16
  6. Step 6: Final answer
    x = 20,313.92

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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.