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Finding the Fourth Proportional to 15,977.24, 23,972.44 and 6,619.14

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Solution

The fourth proportional to 15,977.24, 23,972.44 and 6,619.14 is: 9,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.24 : 23,972.44 = 6,619.14 : x
  2. Step 2: Convert to fraction form
    15,977.24/23,972.44 = 6,619.14/x
  3. Step 3: Cross multiply
    15,977.24x = 23,972.44 × 6,619.14
  4. Step 4: Simplify right side
    15,977.24x = 158,676,936.50
  5. Step 5: Solve for x
    x = 158,676,936.50/15,977.24
  6. Step 6: Final answer
    x = 9,931.44

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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.