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Finding the Fourth Proportional to 20,761.90, 31,153.65 and 9,076.30

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Solution

The fourth proportional to 20,761.90, 31,153.65 and 9,076.30 is: 13,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.90 : 31,153.65 = 9,076.30 : x
  2. Step 2: Convert to fraction form
    20,761.90/31,153.65 = 9,076.30/x
  3. Step 3: Cross multiply
    20,761.90x = 31,153.65 × 9,076.30
  4. Step 4: Simplify right side
    20,761.90x = 282,759,873.50
  5. Step 5: Solve for x
    x = 282,759,873.50/20,761.90
  6. Step 6: Final answer
    x = 13,619.17

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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.