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Finding the Fourth Proportional to 16,443, 24,675.84 and 14,249.52

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Solution

The fourth proportional to 16,443, 24,675.84 and 14,249.52 is: 21,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443 : 24,675.84 = 14,249.52 : x
  2. Step 2: Convert to fraction form
    16,443/24,675.84 = 14,249.52/x
  3. Step 3: Cross multiply
    16,443x = 24,675.84 × 14,249.52
  4. Step 4: Simplify right side
    16,443x = 351,618,875.60
  5. Step 5: Solve for x
    x = 351,618,875.60/16,443
  6. Step 6: Final answer
    x = 21,384.11

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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.