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Finding the Fourth Proportional to 13,216.70, 19,805.96 and 7,294.80

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Solution

The fourth proportional to 13,216.70, 19,805.96 and 7,294.80 is: 10,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.70 : 19,805.96 = 7,294.80 : x
  2. Step 2: Convert to fraction form
    13,216.70/19,805.96 = 7,294.80/x
  3. Step 3: Cross multiply
    13,216.70x = 19,805.96 × 7,294.80
  4. Step 4: Simplify right side
    13,216.70x = 144,480,517.01
  5. Step 5: Solve for x
    x = 144,480,517.01/13,216.70
  6. Step 6: Final answer
    x = 10,931.66

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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.