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Finding the Fourth Proportional to 21,774.84, 32,663.75 and 8,627.19

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Solution

The fourth proportional to 21,774.84, 32,663.75 and 8,627.19 is: 12,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.84 : 32,663.75 = 8,627.19 : x
  2. Step 2: Convert to fraction form
    21,774.84/32,663.75 = 8,627.19/x
  3. Step 3: Cross multiply
    21,774.84x = 32,663.75 × 8,627.19
  4. Step 4: Simplify right side
    21,774.84x = 281,796,377.36
  5. Step 5: Solve for x
    x = 281,796,377.36/21,774.84
  6. Step 6: Final answer
    x = 12,941.38

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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.