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Finding the Fourth Proportional to 24,534.32, 36,801 and 7,004

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Solution

The fourth proportional to 24,534.32, 36,801 and 7,004 is: 10,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.32 : 36,801 = 7,004 : x
  2. Step 2: Convert to fraction form
    24,534.32/36,801 = 7,004/x
  3. Step 3: Cross multiply
    24,534.32x = 36,801 × 7,004
  4. Step 4: Simplify right side
    24,534.32x = 257,754,204
  5. Step 5: Solve for x
    x = 257,754,204/24,534.32
  6. Step 6: Final answer
    x = 10,505.86

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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.