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Finding the Fourth Proportional to 21,235.48, 31,857.25 and 7,004.78

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Solution

The fourth proportional to 21,235.48, 31,857.25 and 7,004.78 is: 10,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.48 : 31,857.25 = 7,004.78 : x
  2. Step 2: Convert to fraction form
    21,235.48/31,857.25 = 7,004.78/x
  3. Step 3: Cross multiply
    21,235.48x = 31,857.25 × 7,004.78
  4. Step 4: Simplify right side
    21,235.48x = 223,152,850.86
  5. Step 5: Solve for x
    x = 223,152,850.86/21,235.48
  6. Step 6: Final answer
    x = 10,508.49

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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.