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Finding the Fourth Proportional to 10,121.70, 15,259.62 and 9,408.19

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Solution

The fourth proportional to 10,121.70, 15,259.62 and 9,408.19 is: 14,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.70 : 15,259.62 = 9,408.19 : x
  2. Step 2: Convert to fraction form
    10,121.70/15,259.62 = 9,408.19/x
  3. Step 3: Cross multiply
    10,121.70x = 15,259.62 × 9,408.19
  4. Step 4: Simplify right side
    10,121.70x = 143,565,404.29
  5. Step 5: Solve for x
    x = 143,565,404.29/10,121.70
  6. Step 6: Final answer
    x = 14,183.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.