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Finding the Fourth Proportional to 13,715.40, 20,570.94 and 4,945.80

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Solution

The fourth proportional to 13,715.40, 20,570.94 and 4,945.80 is: 7,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.40 : 20,570.94 = 4,945.80 : x
  2. Step 2: Convert to fraction form
    13,715.40/20,570.94 = 4,945.80/x
  3. Step 3: Cross multiply
    13,715.40x = 20,570.94 × 4,945.80
  4. Step 4: Simplify right side
    13,715.40x = 101,739,755.05
  5. Step 5: Solve for x
    x = 101,739,755.05/13,715.40
  6. Step 6: Final answer
    x = 7,417.92

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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.