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Finding the Fourth Proportional to 16,094.68, 24,146.98 and 5,564.92

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Solution

The fourth proportional to 16,094.68, 24,146.98 and 5,564.92 is: 8,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.68 : 24,146.98 = 5,564.92 : x
  2. Step 2: Convert to fraction form
    16,094.68/24,146.98 = 5,564.92/x
  3. Step 3: Cross multiply
    16,094.68x = 24,146.98 × 5,564.92
  4. Step 4: Simplify right side
    16,094.68x = 134,376,011.94
  5. Step 5: Solve for x
    x = 134,376,011.94/16,094.68
  6. Step 6: Final answer
    x = 8,349.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.