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Finding the Fourth Proportional to 21,209.36, 31,814.12 and 7,358.36

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Solution

The fourth proportional to 21,209.36, 31,814.12 and 7,358.36 is: 11,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.36 : 31,814.12 = 7,358.36 : x
  2. Step 2: Convert to fraction form
    21,209.36/31,814.12 = 7,358.36/x
  3. Step 3: Cross multiply
    21,209.36x = 31,814.12 × 7,358.36
  4. Step 4: Simplify right side
    21,209.36x = 234,099,748.04
  5. Step 5: Solve for x
    x = 234,099,748.04/21,209.36
  6. Step 6: Final answer
    x = 11,037.57

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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.