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Finding the Fourth Proportional to 17,872.98, 24,664.50 and 9,915.12

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Solution

The fourth proportional to 17,872.98, 24,664.50 and 9,915.12 is: 13,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.98 : 24,664.50 = 9,915.12 : x
  2. Step 2: Convert to fraction form
    17,872.98/24,664.50 = 9,915.12/x
  3. Step 3: Cross multiply
    17,872.98x = 24,664.50 × 9,915.12
  4. Step 4: Simplify right side
    17,872.98x = 244,551,477.24
  5. Step 5: Solve for x
    x = 244,551,477.24/17,872.98
  6. Step 6: Final answer
    x = 13,682.75

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1.5x scale

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.