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Finding the Fourth Proportional to 14,692.64, 20,265.82 and 9,385.08

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Solution

The fourth proportional to 14,692.64, 20,265.82 and 9,385.08 is: 12,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.64 : 20,265.82 = 9,385.08 : x
  2. Step 2: Convert to fraction form
    14,692.64/20,265.82 = 9,385.08/x
  3. Step 3: Cross multiply
    14,692.64x = 20,265.82 × 9,385.08
  4. Step 4: Simplify right side
    14,692.64x = 190,196,341.97
  5. Step 5: Solve for x
    x = 190,196,341.97/14,692.64
  6. Step 6: Final answer
    x = 12,945.01

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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.