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Finding the Fourth Proportional to 19,035.20, 28,538.64 and 9,165.20

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Solution

The fourth proportional to 19,035.20, 28,538.64 and 9,165.20 is: 13,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,035.20 : 28,538.64 = 9,165.20 : x
  2. Step 2: Convert to fraction form
    19,035.20/28,538.64 = 9,165.20/x
  3. Step 3: Cross multiply
    19,035.20x = 28,538.64 × 9,165.20
  4. Step 4: Simplify right side
    19,035.20x = 261,562,343.33
  5. Step 5: Solve for x
    x = 261,562,343.33/19,035.20
  6. Step 6: Final answer
    x = 13,740.98

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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.