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Finding the Fourth Proportional to 15,671.77, 23,507.80 and 3,984.99

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Solution

The fourth proportional to 15,671.77, 23,507.80 and 3,984.99 is: 5,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671.77 : 23,507.80 = 3,984.99 : x
  2. Step 2: Convert to fraction form
    15,671.77/23,507.80 = 3,984.99/x
  3. Step 3: Cross multiply
    15,671.77x = 23,507.80 × 3,984.99
  4. Step 4: Simplify right side
    15,671.77x = 93,678,230.38
  5. Step 5: Solve for x
    x = 93,678,230.38/15,671.77
  6. Step 6: Final answer
    x = 5,977.52

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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.