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Finding the Fourth Proportional to 17,784, 24,543.36 and 10,333.44

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Solution

The fourth proportional to 17,784, 24,543.36 and 10,333.44 is: 14,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784 : 24,543.36 = 10,333.44 : x
  2. Step 2: Convert to fraction form
    17,784/24,543.36 = 10,333.44/x
  3. Step 3: Cross multiply
    17,784x = 24,543.36 × 10,333.44
  4. Step 4: Simplify right side
    17,784x = 253,617,337.96
  5. Step 5: Solve for x
    x = 253,617,337.96/17,784
  6. Step 6: Final answer
    x = 14,260.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.