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Finding the Fourth Proportional to 22,384, 30,890.10 and 12,312.16

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Solution

The fourth proportional to 22,384, 30,890.10 and 12,312.16 is: 16,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384 : 30,890.10 = 12,312.16 : x
  2. Step 2: Convert to fraction form
    22,384/30,890.10 = 12,312.16/x
  3. Step 3: Cross multiply
    22,384x = 30,890.10 × 12,312.16
  4. Step 4: Simplify right side
    22,384x = 380,323,853.62
  5. Step 5: Solve for x
    x = 380,323,853.62/22,384
  6. Step 6: Final answer
    x = 16,990.88

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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.