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Finding the Fourth Proportional to 20,206.64, 30,309.60 and 7,058.96

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Solution

The fourth proportional to 20,206.64, 30,309.60 and 7,058.96 is: 10,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.64 : 30,309.60 = 7,058.96 : x
  2. Step 2: Convert to fraction form
    20,206.64/30,309.60 = 7,058.96/x
  3. Step 3: Cross multiply
    20,206.64x = 30,309.60 × 7,058.96
  4. Step 4: Simplify right side
    20,206.64x = 213,954,254.02
  5. Step 5: Solve for x
    x = 213,954,254.02/20,206.64
  6. Step 6: Final answer
    x = 10,588.31

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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.