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Finding the Fourth Proportional to 14,692.36, 20,275.06 and 7,977.68

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Solution

The fourth proportional to 14,692.36, 20,275.06 and 7,977.68 is: 11,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.36 : 20,275.06 = 7,977.68 : x
  2. Step 2: Convert to fraction form
    14,692.36/20,275.06 = 7,977.68/x
  3. Step 3: Cross multiply
    14,692.36x = 20,275.06 × 7,977.68
  4. Step 4: Simplify right side
    14,692.36x = 161,747,940.66
  5. Step 5: Solve for x
    x = 161,747,940.66/14,692.36
  6. Step 6: Final answer
    x = 11,008.98

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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.