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Finding the Fourth Proportional to 20,995, 31,460.76 and 12,665.76

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Solution

The fourth proportional to 20,995, 31,460.76 and 12,665.76 is: 18,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,995 : 31,460.76 = 12,665.76 : x
  2. Step 2: Convert to fraction form
    20,995/31,460.76 = 12,665.76/x
  3. Step 3: Cross multiply
    20,995x = 31,460.76 × 12,665.76
  4. Step 4: Simplify right side
    20,995x = 398,474,435.58
  5. Step 5: Solve for x
    x = 398,474,435.58/20,995
  6. Step 6: Final answer
    x = 18,979.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.