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Finding the Fourth Proportional to 21,810.20, 30,098.22 and 12,378.92

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Solution

The fourth proportional to 21,810.20, 30,098.22 and 12,378.92 is: 17,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.20 : 30,098.22 = 12,378.92 : x
  2. Step 2: Convert to fraction form
    21,810.20/30,098.22 = 12,378.92/x
  3. Step 3: Cross multiply
    21,810.20x = 30,098.22 × 12,378.92
  4. Step 4: Simplify right side
    21,810.20x = 372,583,457.52
  5. Step 5: Solve for x
    x = 372,583,457.52/21,810.20
  6. Step 6: Final answer
    x = 17,082.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.