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Finding the Fourth Proportional to 20,955.14, 31,412.90 and 7,798.58

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Solution

The fourth proportional to 20,955.14, 31,412.90 and 7,798.58 is: 11,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,955.14 : 31,412.90 = 7,798.58 : x
  2. Step 2: Convert to fraction form
    20,955.14/31,412.90 = 7,798.58/x
  3. Step 3: Cross multiply
    20,955.14x = 31,412.90 × 7,798.58
  4. Step 4: Simplify right side
    20,955.14x = 244,976,013.68
  5. Step 5: Solve for x
    x = 244,976,013.68/20,955.14
  6. Step 6: Final answer
    x = 11,690.50

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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.