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Finding the Fourth Proportional to 23,084.64, 32,071.68 and 22,808.16

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Solution

The fourth proportional to 23,084.64, 32,071.68 and 22,808.16 is: 31,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.64 : 32,071.68 = 22,808.16 : x
  2. Step 2: Convert to fraction form
    23,084.64/32,071.68 = 22,808.16/x
  3. Step 3: Cross multiply
    23,084.64x = 32,071.68 × 22,808.16
  4. Step 4: Simplify right side
    23,084.64x = 731,496,008.91
  5. Step 5: Solve for x
    x = 731,496,008.91/23,084.64
  6. Step 6: Final answer
    x = 31,687.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.