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Finding the Fourth Proportional to 17,915.84, 24,734.20 and 11,967.20

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Solution

The fourth proportional to 17,915.84, 24,734.20 and 11,967.20 is: 16,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,915.84 : 24,734.20 = 11,967.20 : x
  2. Step 2: Convert to fraction form
    17,915.84/24,734.20 = 11,967.20/x
  3. Step 3: Cross multiply
    17,915.84x = 24,734.20 × 11,967.20
  4. Step 4: Simplify right side
    17,915.84x = 295,999,118.24
  5. Step 5: Solve for x
    x = 295,999,118.24/17,915.84
  6. Step 6: Final answer
    x = 16,521.64

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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.