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Finding the Fourth Proportional to 16,512, 22,787.76 and 9,438.24

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Solution

The fourth proportional to 16,512, 22,787.76 and 9,438.24 is: 13,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512 : 22,787.76 = 9,438.24 : x
  2. Step 2: Convert to fraction form
    16,512/22,787.76 = 9,438.24/x
  3. Step 3: Cross multiply
    16,512x = 22,787.76 × 9,438.24
  4. Step 4: Simplify right side
    16,512x = 215,076,347.94
  5. Step 5: Solve for x
    x = 215,076,347.94/16,512
  6. Step 6: Final answer
    x = 13,025.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.