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Finding the Fourth Proportional to 15,866.77, 23,806.69 and 6,977.53

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Solution

The fourth proportional to 15,866.77, 23,806.69 and 6,977.53 is: 10,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.77 : 23,806.69 = 6,977.53 : x
  2. Step 2: Convert to fraction form
    15,866.77/23,806.69 = 6,977.53/x
  3. Step 3: Cross multiply
    15,866.77x = 23,806.69 × 6,977.53
  4. Step 4: Simplify right side
    15,866.77x = 166,111,893.68
  5. Step 5: Solve for x
    x = 166,111,893.68/15,866.77
  6. Step 6: Final answer
    x = 10,469.17

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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.