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Finding the Fourth Proportional to 21,205.60, 31,808.40 and 5,623.23

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Solution

The fourth proportional to 21,205.60, 31,808.40 and 5,623.23 is: 8,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.60 : 31,808.40 = 5,623.23 : x
  2. Step 2: Convert to fraction form
    21,205.60/31,808.40 = 5,623.23/x
  3. Step 3: Cross multiply
    21,205.60x = 31,808.40 × 5,623.23
  4. Step 4: Simplify right side
    21,205.60x = 178,865,949.13
  5. Step 5: Solve for x
    x = 178,865,949.13/21,205.60
  6. Step 6: Final answer
    x = 8,434.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.