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Finding the Fourth Proportional to 16,000.10, 24,005.55 and 7,685.30

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Solution

The fourth proportional to 16,000.10, 24,005.55 and 7,685.30 is: 11,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.10 : 24,005.55 = 7,685.30 : x
  2. Step 2: Convert to fraction form
    16,000.10/24,005.55 = 7,685.30/x
  3. Step 3: Cross multiply
    16,000.10x = 24,005.55 × 7,685.30
  4. Step 4: Simplify right side
    16,000.10x = 184,489,853.42
  5. Step 5: Solve for x
    x = 184,489,853.42/16,000.10
  6. Step 6: Final answer
    x = 11,530.54

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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.