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Finding the Fourth Proportional to 20,957.16, 31,437.22 and 7,809.50

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Solution

The fourth proportional to 20,957.16, 31,437.22 and 7,809.50 is: 11,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.16 : 31,437.22 = 7,809.50 : x
  2. Step 2: Convert to fraction form
    20,957.16/31,437.22 = 7,809.50/x
  3. Step 3: Cross multiply
    20,957.16x = 31,437.22 × 7,809.50
  4. Step 4: Simplify right side
    20,957.16x = 245,508,969.59
  5. Step 5: Solve for x
    x = 245,508,969.59/20,957.16
  6. Step 6: Final answer
    x = 11,714.80

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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.