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Finding the Fourth Proportional to 21,873.15, 32,814.95 and 7,082.10

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Solution

The fourth proportional to 21,873.15, 32,814.95 and 7,082.10 is: 10,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.15 : 32,814.95 = 7,082.10 : x
  2. Step 2: Convert to fraction form
    21,873.15/32,814.95 = 7,082.10/x
  3. Step 3: Cross multiply
    21,873.15x = 32,814.95 × 7,082.10
  4. Step 4: Simplify right side
    21,873.15x = 232,398,721.98
  5. Step 5: Solve for x
    x = 232,398,721.98/21,873.15
  6. Step 6: Final answer
    x = 10,624.84

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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.