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Finding the Fourth Proportional to 20,902.86, 31,359.07 and 9,058.62

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Solution

The fourth proportional to 20,902.86, 31,359.07 and 9,058.62 is: 13,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.86 : 31,359.07 = 9,058.62 : x
  2. Step 2: Convert to fraction form
    20,902.86/31,359.07 = 9,058.62/x
  3. Step 3: Cross multiply
    20,902.86x = 31,359.07 × 9,058.62
  4. Step 4: Simplify right side
    20,902.86x = 284,069,860.15
  5. Step 5: Solve for x
    x = 284,069,860.15/20,902.86
  6. Step 6: Final answer
    x = 13,590.00

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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.