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Finding the Fourth Proportional to 17,467.48, 24,104.70 and 10,015

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Solution

The fourth proportional to 17,467.48, 24,104.70 and 10,015 is: 13,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.48 : 24,104.70 = 10,015 : x
  2. Step 2: Convert to fraction form
    17,467.48/24,104.70 = 10,015/x
  3. Step 3: Cross multiply
    17,467.48x = 24,104.70 × 10,015
  4. Step 4: Simplify right side
    17,467.48x = 241,408,570.50
  5. Step 5: Solve for x
    x = 241,408,570.50/17,467.48
  6. Step 6: Final answer
    x = 13,820.46

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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.