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Finding the Fourth Proportional to 20,407.60, 30,629.40 and 12,077.20

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Solution

The fourth proportional to 20,407.60, 30,629.40 and 12,077.20 is: 18,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.60 : 30,629.40 = 12,077.20 : x
  2. Step 2: Convert to fraction form
    20,407.60/30,629.40 = 12,077.20/x
  3. Step 3: Cross multiply
    20,407.60x = 30,629.40 × 12,077.20
  4. Step 4: Simplify right side
    20,407.60x = 369,917,389.68
  5. Step 5: Solve for x
    x = 369,917,389.68/20,407.60
  6. Step 6: Final answer
    x = 18,126.45

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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.