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Finding the Fourth Proportional to 17,223.64, 25,835.09 and 9,812.27

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Solution

The fourth proportional to 17,223.64, 25,835.09 and 9,812.27 is: 14,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223.64 : 25,835.09 = 9,812.27 : x
  2. Step 2: Convert to fraction form
    17,223.64/25,835.09 = 9,812.27/x
  3. Step 3: Cross multiply
    17,223.64x = 25,835.09 × 9,812.27
  4. Step 4: Simplify right side
    17,223.64x = 253,500,894.08
  5. Step 5: Solve for x
    x = 253,500,894.08/17,223.64
  6. Step 6: Final answer
    x = 14,718.20

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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.