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Finding the Fourth Proportional to 20,764.16, 31,146.71 and 7,438.07

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Solution

The fourth proportional to 20,764.16, 31,146.71 and 7,438.07 is: 11,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764.16 : 31,146.71 = 7,438.07 : x
  2. Step 2: Convert to fraction form
    20,764.16/31,146.71 = 7,438.07/x
  3. Step 3: Cross multiply
    20,764.16x = 31,146.71 × 7,438.07
  4. Step 4: Simplify right side
    20,764.16x = 231,671,272.11
  5. Step 5: Solve for x
    x = 231,671,272.11/20,764.16
  6. Step 6: Final answer
    x = 11,157.27

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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.