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Finding the Fourth Proportional to 20,012.60, 29,975.70 and 17,823.80

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Solution

The fourth proportional to 20,012.60, 29,975.70 and 17,823.80 is: 26,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012.60 : 29,975.70 = 17,823.80 : x
  2. Step 2: Convert to fraction form
    20,012.60/29,975.70 = 17,823.80/x
  3. Step 3: Cross multiply
    20,012.60x = 29,975.70 × 17,823.80
  4. Step 4: Simplify right side
    20,012.60x = 534,280,881.66
  5. Step 5: Solve for x
    x = 534,280,881.66/20,012.60
  6. Step 6: Final answer
    x = 26,697.22

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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.