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Finding the Fourth Proportional to 19,774.72, 29,663.39 and 6,627.20

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Solution

The fourth proportional to 19,774.72, 29,663.39 and 6,627.20 is: 9,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.72 : 29,663.39 = 6,627.20 : x
  2. Step 2: Convert to fraction form
    19,774.72/29,663.39 = 6,627.20/x
  3. Step 3: Cross multiply
    19,774.72x = 29,663.39 × 6,627.20
  4. Step 4: Simplify right side
    19,774.72x = 196,585,185.07
  5. Step 5: Solve for x
    x = 196,585,185.07/19,774.72
  6. Step 6: Final answer
    x = 9,941.24

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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.