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Finding the Fourth Proportional to 20,893.68, 31,339.20 and 9,802.80

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Solution

The fourth proportional to 20,893.68, 31,339.20 and 9,802.80 is: 14,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.68 : 31,339.20 = 9,802.80 : x
  2. Step 2: Convert to fraction form
    20,893.68/31,339.20 = 9,802.80/x
  3. Step 3: Cross multiply
    20,893.68x = 31,339.20 × 9,802.80
  4. Step 4: Simplify right side
    20,893.68x = 307,211,909.76
  5. Step 5: Solve for x
    x = 307,211,909.76/20,893.68
  6. Step 6: Final answer
    x = 14,703.58

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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.