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Finding the Fourth Proportional to 22,384.57, 30,889.76 and 12,312.37

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Solution

The fourth proportional to 22,384.57, 30,889.76 and 12,312.37 is: 16,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.57 : 30,889.76 = 12,312.37 : x
  2. Step 2: Convert to fraction form
    22,384.57/30,889.76 = 12,312.37/x
  3. Step 3: Cross multiply
    22,384.57x = 30,889.76 × 12,312.37
  4. Step 4: Simplify right side
    22,384.57x = 380,326,131.38
  5. Step 5: Solve for x
    x = 380,326,131.38/22,384.57
  6. Step 6: Final answer
    x = 16,990.55

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Why These Related Problems?

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