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Finding the Fourth Proportional to 20,193.60, 30,277.98 and 7,538.16

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Solution

The fourth proportional to 20,193.60, 30,277.98 and 7,538.16 is: 11,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.60 : 30,277.98 = 7,538.16 : x
  2. Step 2: Convert to fraction form
    20,193.60/30,277.98 = 7,538.16/x
  3. Step 3: Cross multiply
    20,193.60x = 30,277.98 × 7,538.16
  4. Step 4: Simplify right side
    20,193.60x = 228,240,257.72
  5. Step 5: Solve for x
    x = 228,240,257.72/20,193.60
  6. Step 6: Final answer
    x = 11,302.60

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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.