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Finding the Fourth Proportional to 17,570.78, 24,245.93 and 10,016.50

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Solution

The fourth proportional to 17,570.78, 24,245.93 and 10,016.50 is: 13,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,570.78 : 24,245.93 = 10,016.50 : x
  2. Step 2: Convert to fraction form
    17,570.78/24,245.93 = 10,016.50/x
  3. Step 3: Cross multiply
    17,570.78x = 24,245.93 × 10,016.50
  4. Step 4: Simplify right side
    17,570.78x = 242,859,357.85
  5. Step 5: Solve for x
    x = 242,859,357.85/17,570.78
  6. Step 6: Final answer
    x = 13,821.77

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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.