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Finding the Fourth Proportional to 16,006.92, 23,978.19 and 7,977.45

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Solution

The fourth proportional to 16,006.92, 23,978.19 and 7,977.45 is: 11,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.92 : 23,978.19 = 7,977.45 : x
  2. Step 2: Convert to fraction form
    16,006.92/23,978.19 = 7,977.45/x
  3. Step 3: Cross multiply
    16,006.92x = 23,978.19 × 7,977.45
  4. Step 4: Simplify right side
    16,006.92x = 191,284,931.65
  5. Step 5: Solve for x
    x = 191,284,931.65/16,006.92
  6. Step 6: Final answer
    x = 11,950.14

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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.