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Finding the Fourth Proportional to 17,505, 24,157.86 and 10,053.48

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Solution

The fourth proportional to 17,505, 24,157.86 and 10,053.48 is: 13,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505 : 24,157.86 = 10,053.48 : x
  2. Step 2: Convert to fraction form
    17,505/24,157.86 = 10,053.48/x
  3. Step 3: Cross multiply
    17,505x = 24,157.86 × 10,053.48
  4. Step 4: Simplify right side
    17,505x = 242,870,562.35
  5. Step 5: Solve for x
    x = 242,870,562.35/17,505
  6. Step 6: Final answer
    x = 13,874.35

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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.