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Finding the Fourth Proportional to 17,698.32, 24,419.76 and 10,242

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Solution

The fourth proportional to 17,698.32, 24,419.76 and 10,242 is: 14,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.32 : 24,419.76 = 10,242 : x
  2. Step 2: Convert to fraction form
    17,698.32/24,419.76 = 10,242/x
  3. Step 3: Cross multiply
    17,698.32x = 24,419.76 × 10,242
  4. Step 4: Simplify right side
    17,698.32x = 250,107,181.92
  5. Step 5: Solve for x
    x = 250,107,181.92/17,698.32
  6. Step 6: Final answer
    x = 14,131.69

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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.