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Finding the Fourth Proportional to 21,023.37, 31,534.37 and 8,539.70

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Solution

The fourth proportional to 21,023.37, 31,534.37 and 8,539.70 is: 12,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.37 : 31,534.37 = 8,539.70 : x
  2. Step 2: Convert to fraction form
    21,023.37/31,534.37 = 8,539.70/x
  3. Step 3: Cross multiply
    21,023.37x = 31,534.37 × 8,539.70
  4. Step 4: Simplify right side
    21,023.37x = 269,293,859.12
  5. Step 5: Solve for x
    x = 269,293,859.12/21,023.37
  6. Step 6: Final answer
    x = 12,809.26

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