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Finding the Fourth Proportional to 12,830.08, 17,692.80 and 8,354.56

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Solution

The fourth proportional to 12,830.08, 17,692.80 and 8,354.56 is: 11,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.08 : 17,692.80 = 8,354.56 : x
  2. Step 2: Convert to fraction form
    12,830.08/17,692.80 = 8,354.56/x
  3. Step 3: Cross multiply
    12,830.08x = 17,692.80 × 8,354.56
  4. Step 4: Simplify right side
    12,830.08x = 147,815,559.17
  5. Step 5: Solve for x
    x = 147,815,559.17/12,830.08
  6. Step 6: Final answer
    x = 11,521.02

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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.