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Finding the Fourth Proportional to 21,078.32, 31,619.30 and 8,599.23

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Solution

The fourth proportional to 21,078.32, 31,619.30 and 8,599.23 is: 12,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.32 : 31,619.30 = 8,599.23 : x
  2. Step 2: Convert to fraction form
    21,078.32/31,619.30 = 8,599.23/x
  3. Step 3: Cross multiply
    21,078.32x = 31,619.30 × 8,599.23
  4. Step 4: Simplify right side
    21,078.32x = 271,901,590.14
  5. Step 5: Solve for x
    x = 271,901,590.14/21,078.32
  6. Step 6: Final answer
    x = 12,899.59

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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.