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Finding the Fourth Proportional to 21,180.15, 31,774.86 and 6,387.93

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Solution

The fourth proportional to 21,180.15, 31,774.86 and 6,387.93 is: 9,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.15 : 31,774.86 = 6,387.93 : x
  2. Step 2: Convert to fraction form
    21,180.15/31,774.86 = 6,387.93/x
  3. Step 3: Cross multiply
    21,180.15x = 31,774.86 × 6,387.93
  4. Step 4: Simplify right side
    21,180.15x = 202,975,581.44
  5. Step 5: Solve for x
    x = 202,975,581.44/21,180.15
  6. Step 6: Final answer
    x = 9,583.29

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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.