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Finding the Fourth Proportional to 20,287.76, 30,431.12 and 9,186.40

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Solution

The fourth proportional to 20,287.76, 30,431.12 and 9,186.40 is: 13,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.76 : 30,431.12 = 9,186.40 : x
  2. Step 2: Convert to fraction form
    20,287.76/30,431.12 = 9,186.40/x
  3. Step 3: Cross multiply
    20,287.76x = 30,431.12 × 9,186.40
  4. Step 4: Simplify right side
    20,287.76x = 279,552,440.77
  5. Step 5: Solve for x
    x = 279,552,440.77/20,287.76
  6. Step 6: Final answer
    x = 13,779.36

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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.