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Finding the Fourth Proportional to 20,691.36, 31,037.00 and 7,538.36

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Solution

The fourth proportional to 20,691.36, 31,037.00 and 7,538.36 is: 11,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.36 : 31,037.00 = 7,538.36 : x
  2. Step 2: Convert to fraction form
    20,691.36/31,037.00 = 7,538.36/x
  3. Step 3: Cross multiply
    20,691.36x = 31,037.00 × 7,538.36
  4. Step 4: Simplify right side
    20,691.36x = 233,967,886.44
  5. Step 5: Solve for x
    x = 233,967,886.44/20,691.36
  6. Step 6: Final answer
    x = 11,307.52

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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.