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Finding the Fourth Proportional to 16,114.10, 24,164.02 and 8,615.84

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Solution

The fourth proportional to 16,114.10, 24,164.02 and 8,615.84 is: 12,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.10 : 24,164.02 = 8,615.84 : x
  2. Step 2: Convert to fraction form
    16,114.10/24,164.02 = 8,615.84/x
  3. Step 3: Cross multiply
    16,114.10x = 24,164.02 × 8,615.84
  4. Step 4: Simplify right side
    16,114.10x = 208,193,368.95
  5. Step 5: Solve for x
    x = 208,193,368.95/16,114.10
  6. Step 6: Final answer
    x = 12,919.95

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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.