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Finding the Fourth Proportional to 23,677.20, 35,442.90 and 19,449

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Solution

The fourth proportional to 23,677.20, 35,442.90 and 19,449 is: 29,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.20 : 35,442.90 = 19,449 : x
  2. Step 2: Convert to fraction form
    23,677.20/35,442.90 = 19,449/x
  3. Step 3: Cross multiply
    23,677.20x = 35,442.90 × 19,449
  4. Step 4: Simplify right side
    23,677.20x = 689,328,962.10
  5. Step 5: Solve for x
    x = 689,328,962.10/23,677.20
  6. Step 6: Final answer
    x = 29,113.62

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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.