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Finding the Fourth Proportional to 14,692.25, 20,275.33 and 7,977.78

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Solution

The fourth proportional to 14,692.25, 20,275.33 and 7,977.78 is: 11,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.25 : 20,275.33 = 7,977.78 : x
  2. Step 2: Convert to fraction form
    14,692.25/20,275.33 = 7,977.78/x
  3. Step 3: Cross multiply
    14,692.25x = 20,275.33 × 7,977.78
  4. Step 4: Simplify right side
    14,692.25x = 161,752,122.17
  5. Step 5: Solve for x
    x = 161,752,122.17/14,692.25
  6. Step 6: Final answer
    x = 11,009.35

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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.