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Finding the Fourth Proportional to 21,105.58, 31,642.64 and 7,057.30

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Solution

The fourth proportional to 21,105.58, 31,642.64 and 7,057.30 is: 10,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.58 : 31,642.64 = 7,057.30 : x
  2. Step 2: Convert to fraction form
    21,105.58/31,642.64 = 7,057.30/x
  3. Step 3: Cross multiply
    21,105.58x = 31,642.64 × 7,057.30
  4. Step 4: Simplify right side
    21,105.58x = 223,311,603.27
  5. Step 5: Solve for x
    x = 223,311,603.27/21,105.58
  6. Step 6: Final answer
    x = 10,580.69

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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.