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Finding the Fourth Proportional to 16,094.89, 24,143.55 and 5,564.49

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Solution

The fourth proportional to 16,094.89, 24,143.55 and 5,564.49 is: 8,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.89 : 24,143.55 = 5,564.49 : x
  2. Step 2: Convert to fraction form
    16,094.89/24,143.55 = 5,564.49/x
  3. Step 3: Cross multiply
    16,094.89x = 24,143.55 × 5,564.49
  4. Step 4: Simplify right side
    16,094.89x = 134,346,542.54
  5. Step 5: Solve for x
    x = 134,346,542.54/16,094.89
  6. Step 6: Final answer
    x = 8,347.16

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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.