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Finding the Fourth Proportional to 15,597.72, 23,406.08 and 8,207.44

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Solution

The fourth proportional to 15,597.72, 23,406.08 and 8,207.44 is: 12,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.72 : 23,406.08 = 8,207.44 : x
  2. Step 2: Convert to fraction form
    15,597.72/23,406.08 = 8,207.44/x
  3. Step 3: Cross multiply
    15,597.72x = 23,406.08 × 8,207.44
  4. Step 4: Simplify right side
    15,597.72x = 192,103,997.24
  5. Step 5: Solve for x
    x = 192,103,997.24/15,597.72
  6. Step 6: Final answer
    x = 12,316.16

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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.