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Finding the Fourth Proportional to 20,830.98, 31,245.77 and 8,347.66

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Solution

The fourth proportional to 20,830.98, 31,245.77 and 8,347.66 is: 12,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.98 : 31,245.77 = 8,347.66 : x
  2. Step 2: Convert to fraction form
    20,830.98/31,245.77 = 8,347.66/x
  3. Step 3: Cross multiply
    20,830.98x = 31,245.77 × 8,347.66
  4. Step 4: Simplify right side
    20,830.98x = 260,828,908.17
  5. Step 5: Solve for x
    x = 260,828,908.17/20,830.98
  6. Step 6: Final answer
    x = 12,521.20

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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.