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Finding the Fourth Proportional to 17,685.89, 24,408.14 and 10,134.67

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Solution

The fourth proportional to 17,685.89, 24,408.14 and 10,134.67 is: 13,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.89 : 24,408.14 = 10,134.67 : x
  2. Step 2: Convert to fraction form
    17,685.89/24,408.14 = 10,134.67/x
  3. Step 3: Cross multiply
    17,685.89x = 24,408.14 × 10,134.67
  4. Step 4: Simplify right side
    17,685.89x = 247,368,322.17
  5. Step 5: Solve for x
    x = 247,368,322.17/17,685.89
  6. Step 6: Final answer
    x = 13,986.76

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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.