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Finding the Fourth Proportional to 24,538.32, 36,807 and 7,008

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Solution

The fourth proportional to 24,538.32, 36,807 and 7,008 is: 10,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.32 : 36,807 = 7,008 : x
  2. Step 2: Convert to fraction form
    24,538.32/36,807 = 7,008/x
  3. Step 3: Cross multiply
    24,538.32x = 36,807 × 7,008
  4. Step 4: Simplify right side
    24,538.32x = 257,943,456
  5. Step 5: Solve for x
    x = 257,943,456/24,538.32
  6. Step 6: Final answer
    x = 10,511.86

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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.