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Finding the Fourth Proportional to 16,062.67, 24,094.02 and 4,969.11

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Solution

The fourth proportional to 16,062.67, 24,094.02 and 4,969.11 is: 7,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062.67 : 24,094.02 = 4,969.11 : x
  2. Step 2: Convert to fraction form
    16,062.67/24,094.02 = 4,969.11/x
  3. Step 3: Cross multiply
    16,062.67x = 24,094.02 × 4,969.11
  4. Step 4: Simplify right side
    16,062.67x = 119,725,944.71
  5. Step 5: Solve for x
    x = 119,725,944.71/16,062.67
  6. Step 6: Final answer
    x = 7,453.68

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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.