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Finding the Fourth Proportional to 16,005.76, 23,963.44 and 8,492.32

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Solution

The fourth proportional to 16,005.76, 23,963.44 and 8,492.32 is: 12,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.76 : 23,963.44 = 8,492.32 : x
  2. Step 2: Convert to fraction form
    16,005.76/23,963.44 = 8,492.32/x
  3. Step 3: Cross multiply
    16,005.76x = 23,963.44 × 8,492.32
  4. Step 4: Simplify right side
    16,005.76x = 203,505,200.78
  5. Step 5: Solve for x
    x = 203,505,200.78/16,005.76
  6. Step 6: Final answer
    x = 12,714.50

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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.