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Finding the Fourth Proportional to 15,888.50, 23,832.91 and 4,795.28

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Solution

The fourth proportional to 15,888.50, 23,832.91 and 4,795.28 is: 7,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.50 : 23,832.91 = 4,795.28 : x
  2. Step 2: Convert to fraction form
    15,888.50/23,832.91 = 4,795.28/x
  3. Step 3: Cross multiply
    15,888.50x = 23,832.91 × 4,795.28
  4. Step 4: Simplify right side
    15,888.50x = 114,285,497.55
  5. Step 5: Solve for x
    x = 114,285,497.55/15,888.50
  6. Step 6: Final answer
    x = 7,192.97

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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.