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Finding the Fourth Proportional to 14,692.70, 20,275.71 and 8,403.86

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Solution

The fourth proportional to 14,692.70, 20,275.71 and 8,403.86 is: 11,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.70 : 20,275.71 = 8,403.86 : x
  2. Step 2: Convert to fraction form
    14,692.70/20,275.71 = 8,403.86/x
  3. Step 3: Cross multiply
    14,692.70x = 20,275.71 × 8,403.86
  4. Step 4: Simplify right side
    14,692.70x = 170,394,228.24
  5. Step 5: Solve for x
    x = 170,394,228.24/14,692.70
  6. Step 6: Final answer
    x = 11,597.20

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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.