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Finding the Fourth Proportional to 20,698.24, 31,051.34 and 8,215.80

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Solution

The fourth proportional to 20,698.24, 31,051.34 and 8,215.80 is: 12,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.24 : 31,051.34 = 8,215.80 : x
  2. Step 2: Convert to fraction form
    20,698.24/31,051.34 = 8,215.80/x
  3. Step 3: Cross multiply
    20,698.24x = 31,051.34 × 8,215.80
  4. Step 4: Simplify right side
    20,698.24x = 255,111,599.17
  5. Step 5: Solve for x
    x = 255,111,599.17/20,698.24
  6. Step 6: Final answer
    x = 12,325.28

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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.