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Finding the Fourth Proportional to 12,426.46, 17,147.24 and 7,646.70

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Solution

The fourth proportional to 12,426.46, 17,147.24 and 7,646.70 is: 10,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.46 : 17,147.24 = 7,646.70 : x
  2. Step 2: Convert to fraction form
    12,426.46/17,147.24 = 7,646.70/x
  3. Step 3: Cross multiply
    12,426.46x = 17,147.24 × 7,646.70
  4. Step 4: Simplify right side
    12,426.46x = 131,119,897.86
  5. Step 5: Solve for x
    x = 131,119,897.86/12,426.46
  6. Step 6: Final answer
    x = 10,551.67

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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.