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Finding the Fourth Proportional to 17,718.75, 24,455.12 and 10,266.75

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Solution

The fourth proportional to 17,718.75, 24,455.12 and 10,266.75 is: 14,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.75 : 24,455.12 = 10,266.75 : x
  2. Step 2: Convert to fraction form
    17,718.75/24,455.12 = 10,266.75/x
  3. Step 3: Cross multiply
    17,718.75x = 24,455.12 × 10,266.75
  4. Step 4: Simplify right side
    17,718.75x = 251,074,551.93
  5. Step 5: Solve for x
    x = 251,074,551.93/17,718.75
  6. Step 6: Final answer
    x = 14,169.99

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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.