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Finding the Fourth Proportional to 15,844.50, 23,772.36 and 7,418.52

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Solution

The fourth proportional to 15,844.50, 23,772.36 and 7,418.52 is: 11,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844.50 : 23,772.36 = 7,418.52 : x
  2. Step 2: Convert to fraction form
    15,844.50/23,772.36 = 7,418.52/x
  3. Step 3: Cross multiply
    15,844.50x = 23,772.36 × 7,418.52
  4. Step 4: Simplify right side
    15,844.50x = 176,355,728.11
  5. Step 5: Solve for x
    x = 176,355,728.11/15,844.50
  6. Step 6: Final answer
    x = 11,130.41

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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.