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Finding the Fourth Proportional to 15,957.36, 23,936 and 7,612.08

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Solution

The fourth proportional to 15,957.36, 23,936 and 7,612.08 is: 11,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957.36 : 23,936 = 7,612.08 : x
  2. Step 2: Convert to fraction form
    15,957.36/23,936 = 7,612.08/x
  3. Step 3: Cross multiply
    15,957.36x = 23,936 × 7,612.08
  4. Step 4: Simplify right side
    15,957.36x = 182,202,746.88
  5. Step 5: Solve for x
    x = 182,202,746.88/15,957.36
  6. Step 6: Final answer
    x = 11,418.10

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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.