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Finding the Fourth Proportional to 16,584.30, 22,868.80 and 12,808.08

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Solution

The fourth proportional to 16,584.30, 22,868.80 and 12,808.08 is: 17,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.30 : 22,868.80 = 12,808.08 : x
  2. Step 2: Convert to fraction form
    16,584.30/22,868.80 = 12,808.08/x
  3. Step 3: Cross multiply
    16,584.30x = 22,868.80 × 12,808.08
  4. Step 4: Simplify right side
    16,584.30x = 292,905,355.86
  5. Step 5: Solve for x
    x = 292,905,355.86/16,584.30
  6. Step 6: Final answer
    x = 17,661.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.