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Finding the Fourth Proportional to 21,182, 31,775.16 and 7,330.96

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Solution

The fourth proportional to 21,182, 31,775.16 and 7,330.96 is: 10,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182 : 31,775.16 = 7,330.96 : x
  2. Step 2: Convert to fraction form
    21,182/31,775.16 = 7,330.96/x
  3. Step 3: Cross multiply
    21,182x = 31,775.16 × 7,330.96
  4. Step 4: Simplify right side
    21,182x = 232,942,426.95
  5. Step 5: Solve for x
    x = 232,942,426.95/21,182
  6. Step 6: Final answer
    x = 10,997.19

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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.