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Finding the Fourth Proportional to 16,835.81, 23,232.12 and 9,282.12

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Solution

The fourth proportional to 16,835.81, 23,232.12 and 9,282.12 is: 12,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835.81 : 23,232.12 = 9,282.12 : x
  2. Step 2: Convert to fraction form
    16,835.81/23,232.12 = 9,282.12/x
  3. Step 3: Cross multiply
    16,835.81x = 23,232.12 × 9,282.12
  4. Step 4: Simplify right side
    16,835.81x = 215,643,325.69
  5. Step 5: Solve for x
    x = 215,643,325.69/16,835.81
  6. Step 6: Final answer
    x = 12,808.61

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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.