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Finding the Fourth Proportional to 21,155.22, 31,731 and 8,007.72

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Solution

The fourth proportional to 21,155.22, 31,731 and 8,007.72 is: 12,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,155.22 : 31,731 = 8,007.72 : x
  2. Step 2: Convert to fraction form
    21,155.22/31,731 = 8,007.72/x
  3. Step 3: Cross multiply
    21,155.22x = 31,731 × 8,007.72
  4. Step 4: Simplify right side
    21,155.22x = 254,092,963.32
  5. Step 5: Solve for x
    x = 254,092,963.32/21,155.22
  6. Step 6: Final answer
    x = 12,010.89

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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.