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Finding the Fourth Proportional to 21,577.98, 32,368.29 and 6,787.38

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Solution

The fourth proportional to 21,577.98, 32,368.29 and 6,787.38 is: 10,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.98 : 32,368.29 = 6,787.38 : x
  2. Step 2: Convert to fraction form
    21,577.98/32,368.29 = 6,787.38/x
  3. Step 3: Cross multiply
    21,577.98x = 32,368.29 × 6,787.38
  4. Step 4: Simplify right side
    21,577.98x = 219,695,884.18
  5. Step 5: Solve for x
    x = 219,695,884.18/21,577.98
  6. Step 6: Final answer
    x = 10,181.49

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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.