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Finding the Fourth Proportional to 20,686.94, 31,035.29 and 9,003.50

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Solution

The fourth proportional to 20,686.94, 31,035.29 and 9,003.50 is: 13,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.94 : 31,035.29 = 9,003.50 : x
  2. Step 2: Convert to fraction form
    20,686.94/31,035.29 = 9,003.50/x
  3. Step 3: Cross multiply
    20,686.94x = 31,035.29 × 9,003.50
  4. Step 4: Simplify right side
    20,686.94x = 279,426,149.70
  5. Step 5: Solve for x
    x = 279,426,149.70/20,686.94
  6. Step 6: Final answer
    x = 13,507.37

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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.