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Finding the Fourth Proportional to 16,611.72, 24,926.88 and 9,215.16

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Solution

The fourth proportional to 16,611.72, 24,926.88 and 9,215.16 is: 13,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,611.72 : 24,926.88 = 9,215.16 : x
  2. Step 2: Convert to fraction form
    16,611.72/24,926.88 = 9,215.16/x
  3. Step 3: Cross multiply
    16,611.72x = 24,926.88 × 9,215.16
  4. Step 4: Simplify right side
    16,611.72x = 229,705,187.50
  5. Step 5: Solve for x
    x = 229,705,187.50/16,611.72
  6. Step 6: Final answer
    x = 13,827.90

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1.5x scale

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.