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Finding the Fourth Proportional to 16,259.76, 24,389.54 and 5,166.20

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Solution

The fourth proportional to 16,259.76, 24,389.54 and 5,166.20 is: 7,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.76 : 24,389.54 = 5,166.20 : x
  2. Step 2: Convert to fraction form
    16,259.76/24,389.54 = 5,166.20/x
  3. Step 3: Cross multiply
    16,259.76x = 24,389.54 × 5,166.20
  4. Step 4: Simplify right side
    16,259.76x = 126,001,241.55
  5. Step 5: Solve for x
    x = 126,001,241.55/16,259.76
  6. Step 6: Final answer
    x = 7,749.27

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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.