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Finding the Fourth Proportional to 22,295.14, 30,767.64 and 12,224.50

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Solution

The fourth proportional to 22,295.14, 30,767.64 and 12,224.50 is: 16,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.14 : 30,767.64 = 12,224.50 : x
  2. Step 2: Convert to fraction form
    22,295.14/30,767.64 = 12,224.50/x
  3. Step 3: Cross multiply
    22,295.14x = 30,767.64 × 12,224.50
  4. Step 4: Simplify right side
    22,295.14x = 376,119,015.18
  5. Step 5: Solve for x
    x = 376,119,015.18/22,295.14
  6. Step 6: Final answer
    x = 16,870.00

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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.