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Finding the Fourth Proportional to 16,416.50, 24,624.50 and 11,138.40

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Solution

The fourth proportional to 16,416.50, 24,624.50 and 11,138.40 is: 16,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.50 : 24,624.50 = 11,138.40 : x
  2. Step 2: Convert to fraction form
    16,416.50/24,624.50 = 11,138.40/x
  3. Step 3: Cross multiply
    16,416.50x = 24,624.50 × 11,138.40
  4. Step 4: Simplify right side
    16,416.50x = 274,277,475.11
  5. Step 5: Solve for x
    x = 274,277,475.11/16,416.50
  6. Step 6: Final answer
    x = 16,707.43

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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.