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Finding the Fourth Proportional to 15,967.52, 23,951.23 and 7,192.16

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Solution

The fourth proportional to 15,967.52, 23,951.23 and 7,192.16 is: 10,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.52 : 23,951.23 = 7,192.16 : x
  2. Step 2: Convert to fraction form
    15,967.52/23,951.23 = 7,192.16/x
  3. Step 3: Cross multiply
    15,967.52x = 23,951.23 × 7,192.16
  4. Step 4: Simplify right side
    15,967.52x = 172,261,078.36
  5. Step 5: Solve for x
    x = 172,261,078.36/15,967.52
  6. Step 6: Final answer
    x = 10,788.22

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1.5x scale

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.