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Finding the Fourth Proportional to 21,205.70, 31,808.62 and 7,165.84

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Solution

The fourth proportional to 21,205.70, 31,808.62 and 7,165.84 is: 10,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.70 : 31,808.62 = 7,165.84 : x
  2. Step 2: Convert to fraction form
    21,205.70/31,808.62 = 7,165.84/x
  3. Step 3: Cross multiply
    21,205.70x = 31,808.62 × 7,165.84
  4. Step 4: Simplify right side
    21,205.70x = 227,935,580.23
  5. Step 5: Solve for x
    x = 227,935,580.23/21,205.70
  6. Step 6: Final answer
    x = 10,748.79

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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.