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Finding the Fourth Proportional to 24,536.32, 36,804 and 7,006

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Solution

The fourth proportional to 24,536.32, 36,804 and 7,006 is: 10,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.32 : 36,804 = 7,006 : x
  2. Step 2: Convert to fraction form
    24,536.32/36,804 = 7,006/x
  3. Step 3: Cross multiply
    24,536.32x = 36,804 × 7,006
  4. Step 4: Simplify right side
    24,536.32x = 257,848,824
  5. Step 5: Solve for x
    x = 257,848,824/24,536.32
  6. Step 6: Final answer
    x = 10,508.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.