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Finding the Fourth Proportional to 22,384.95, 30,892.05 and 12,314.16

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Solution

The fourth proportional to 22,384.95, 30,892.05 and 12,314.16 is: 16,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.95 : 30,892.05 = 12,314.16 : x
  2. Step 2: Convert to fraction form
    22,384.95/30,892.05 = 12,314.16/x
  3. Step 3: Cross multiply
    22,384.95x = 30,892.05 × 12,314.16
  4. Step 4: Simplify right side
    22,384.95x = 380,409,646.43
  5. Step 5: Solve for x
    x = 380,409,646.43/22,384.95
  6. Step 6: Final answer
    x = 16,993.99

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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.