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Finding the Fourth Proportional to 17,285.27, 23,855.99 and 9,733.10

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Solution

The fourth proportional to 17,285.27, 23,855.99 and 9,733.10 is: 13,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,285.27 : 23,855.99 = 9,733.10 : x
  2. Step 2: Convert to fraction form
    17,285.27/23,855.99 = 9,733.10/x
  3. Step 3: Cross multiply
    17,285.27x = 23,855.99 × 9,733.10
  4. Step 4: Simplify right side
    17,285.27x = 232,192,568.32
  5. Step 5: Solve for x
    x = 232,192,568.32/17,285.27
  6. Step 6: Final answer
    x = 13,432.98

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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.