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Finding the Fourth Proportional to 15,763.32, 23,623.02 and 7,963.02

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Solution

The fourth proportional to 15,763.32, 23,623.02 and 7,963.02 is: 11,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.32 : 23,623.02 = 7,963.02 : x
  2. Step 2: Convert to fraction form
    15,763.32/23,623.02 = 7,963.02/x
  3. Step 3: Cross multiply
    15,763.32x = 23,623.02 × 7,963.02
  4. Step 4: Simplify right side
    15,763.32x = 188,110,580.72
  5. Step 5: Solve for x
    x = 188,110,580.72/15,763.32
  6. Step 6: Final answer
    x = 11,933.44

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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.