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Finding the Fourth Proportional to 17,138.16, 25,698.96 and 9,740.70

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Solution

The fourth proportional to 17,138.16, 25,698.96 and 9,740.70 is: 14,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.16 : 25,698.96 = 9,740.70 : x
  2. Step 2: Convert to fraction form
    17,138.16/25,698.96 = 9,740.70/x
  3. Step 3: Cross multiply
    17,138.16x = 25,698.96 × 9,740.70
  4. Step 4: Simplify right side
    17,138.16x = 250,325,859.67
  5. Step 5: Solve for x
    x = 250,325,859.67/17,138.16
  6. Step 6: Final answer
    x = 14,606.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.