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Finding the Fourth Proportional to 22,384.20, 30,887.78 and 12,951

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Solution

The fourth proportional to 22,384.20, 30,887.78 and 12,951 is: 17,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.20 : 30,887.78 = 12,951 : x
  2. Step 2: Convert to fraction form
    22,384.20/30,887.78 = 12,951/x
  3. Step 3: Cross multiply
    22,384.20x = 30,887.78 × 12,951
  4. Step 4: Simplify right side
    22,384.20x = 400,027,574.03
  5. Step 5: Solve for x
    x = 400,027,574.03/22,384.20
  6. Step 6: Final answer
    x = 17,870.98

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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.