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Finding the Fourth Proportional to 13,965.80, 19,271.22 and 7,677.80

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Solution

The fourth proportional to 13,965.80, 19,271.22 and 7,677.80 is: 10,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.80 : 19,271.22 = 7,677.80 : x
  2. Step 2: Convert to fraction form
    13,965.80/19,271.22 = 7,677.80/x
  3. Step 3: Cross multiply
    13,965.80x = 19,271.22 × 7,677.80
  4. Step 4: Simplify right side
    13,965.80x = 147,960,572.92
  5. Step 5: Solve for x
    x = 147,960,572.92/13,965.80
  6. Step 6: Final answer
    x = 10,594.49

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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.