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Finding the Fourth Proportional to 22,384.31, 30,889.69 and 12,312.74

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Solution

The fourth proportional to 22,384.31, 30,889.69 and 12,312.74 is: 16,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.31 : 30,889.69 = 12,312.74 : x
  2. Step 2: Convert to fraction form
    22,384.31/30,889.69 = 12,312.74/x
  3. Step 3: Cross multiply
    22,384.31x = 30,889.69 × 12,312.74
  4. Step 4: Simplify right side
    22,384.31x = 380,336,721.65
  5. Step 5: Solve for x
    x = 380,336,721.65/22,384.31
  6. Step 6: Final answer
    x = 16,991.22

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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.