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Finding the Fourth Proportional to 20,897.29, 31,345.62 and 8,416.99

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Solution

The fourth proportional to 20,897.29, 31,345.62 and 8,416.99 is: 12,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.29 : 31,345.62 = 8,416.99 : x
  2. Step 2: Convert to fraction form
    20,897.29/31,345.62 = 8,416.99/x
  3. Step 3: Cross multiply
    20,897.29x = 31,345.62 × 8,416.99
  4. Step 4: Simplify right side
    20,897.29x = 263,835,777.70
  5. Step 5: Solve for x
    x = 263,835,777.70/20,897.29
  6. Step 6: Final answer
    x = 12,625.36

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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.