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Finding the Fourth Proportional to 17,577.78, 26,377.02 and 6,492.18

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Solution

The fourth proportional to 17,577.78, 26,377.02 and 6,492.18 is: 9,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.78 : 26,377.02 = 6,492.18 : x
  2. Step 2: Convert to fraction form
    17,577.78/26,377.02 = 6,492.18/x
  3. Step 3: Cross multiply
    17,577.78x = 26,377.02 × 6,492.18
  4. Step 4: Simplify right side
    17,577.78x = 171,244,361.70
  5. Step 5: Solve for x
    x = 171,244,361.70/17,577.78
  6. Step 6: Final answer
    x = 9,742.09

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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.