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Finding the Fourth Proportional to 12,827.60, 17,692.68 and 9,296.72

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Solution

The fourth proportional to 12,827.60, 17,692.68 and 9,296.72 is: 12,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.60 : 17,692.68 = 9,296.72 : x
  2. Step 2: Convert to fraction form
    12,827.60/17,692.68 = 9,296.72/x
  3. Step 3: Cross multiply
    12,827.60x = 17,692.68 × 9,296.72
  4. Step 4: Simplify right side
    12,827.60x = 164,483,892.01
  5. Step 5: Solve for x
    x = 164,483,892.01/12,827.60
  6. Step 6: Final answer
    x = 12,822.66

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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.