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Finding the Fourth Proportional to 17,647.50, 24,354.34 and 10,573.77

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Solution

The fourth proportional to 17,647.50, 24,354.34 and 10,573.77 is: 14,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.50 : 24,354.34 = 10,573.77 : x
  2. Step 2: Convert to fraction form
    17,647.50/24,354.34 = 10,573.77/x
  3. Step 3: Cross multiply
    17,647.50x = 24,354.34 × 10,573.77
  4. Step 4: Simplify right side
    17,647.50x = 257,517,067.89
  5. Step 5: Solve for x
    x = 257,517,067.89/17,647.50
  6. Step 6: Final answer
    x = 14,592.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.