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Finding the Fourth Proportional to 20,864.08, 31,299 and 7,017.04

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Solution

The fourth proportional to 20,864.08, 31,299 and 7,017.04 is: 10,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.08 : 31,299 = 7,017.04 : x
  2. Step 2: Convert to fraction form
    20,864.08/31,299 = 7,017.04/x
  3. Step 3: Cross multiply
    20,864.08x = 31,299 × 7,017.04
  4. Step 4: Simplify right side
    20,864.08x = 219,626,334.96
  5. Step 5: Solve for x
    x = 219,626,334.96/20,864.08
  6. Step 6: Final answer
    x = 10,526.53

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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.