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Finding the Fourth Proportional to 15,777, 23,665.68 and 4,089.51

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Solution

The fourth proportional to 15,777, 23,665.68 and 4,089.51 is: 6,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777 : 23,665.68 = 4,089.51 : x
  2. Step 2: Convert to fraction form
    15,777/23,665.68 = 4,089.51/x
  3. Step 3: Cross multiply
    15,777x = 23,665.68 × 4,089.51
  4. Step 4: Simplify right side
    15,777x = 96,781,035.02
  5. Step 5: Solve for x
    x = 96,781,035.02/15,777
  6. Step 6: Final answer
    x = 6,134.31

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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.