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Finding the Fourth Proportional to 16,859.25, 23,264.10 and 9,305.09

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Solution

The fourth proportional to 16,859.25, 23,264.10 and 9,305.09 is: 12,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859.25 : 23,264.10 = 9,305.09 : x
  2. Step 2: Convert to fraction form
    16,859.25/23,264.10 = 9,305.09/x
  3. Step 3: Cross multiply
    16,859.25x = 23,264.10 × 9,305.09
  4. Step 4: Simplify right side
    16,859.25x = 216,474,515.19
  5. Step 5: Solve for x
    x = 216,474,515.19/16,859.25
  6. Step 6: Final answer
    x = 12,840.11

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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.