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Finding the Fourth Proportional to 23,855.31, 32,932.64 and 16,813.17

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Solution

The fourth proportional to 23,855.31, 32,932.64 and 16,813.17 is: 23,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.31 : 32,932.64 = 16,813.17 : x
  2. Step 2: Convert to fraction form
    23,855.31/32,932.64 = 16,813.17/x
  3. Step 3: Cross multiply
    23,855.31x = 32,932.64 × 16,813.17
  4. Step 4: Simplify right side
    23,855.31x = 553,702,116.90
  5. Step 5: Solve for x
    x = 553,702,116.90/23,855.31
  6. Step 6: Final answer
    x = 23,210.85

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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.