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Finding the Fourth Proportional to 20,698.98, 31,029.93 and 8,210.58

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Solution

The fourth proportional to 20,698.98, 31,029.93 and 8,210.58 is: 12,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.98 : 31,029.93 = 8,210.58 : x
  2. Step 2: Convert to fraction form
    20,698.98/31,029.93 = 8,210.58/x
  3. Step 3: Cross multiply
    20,698.98x = 31,029.93 × 8,210.58
  4. Step 4: Simplify right side
    20,698.98x = 254,773,722.66
  5. Step 5: Solve for x
    x = 254,773,722.66/20,698.98
  6. Step 6: Final answer
    x = 12,308.52

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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.