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Finding the Fourth Proportional to 17,200.16, 25,807.53 and 9,399.86

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Solution

The fourth proportional to 17,200.16, 25,807.53 and 9,399.86 is: 14,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.16 : 25,807.53 = 9,399.86 : x
  2. Step 2: Convert to fraction form
    17,200.16/25,807.53 = 9,399.86/x
  3. Step 3: Cross multiply
    17,200.16x = 25,807.53 × 9,399.86
  4. Step 4: Simplify right side
    17,200.16x = 242,587,039.91
  5. Step 5: Solve for x
    x = 242,587,039.91/17,200.16
  6. Step 6: Final answer
    x = 14,103.77

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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.