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Finding the Fourth Proportional to 12,692.89, 19,051.64 and 6,123.69

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Solution

The fourth proportional to 12,692.89, 19,051.64 and 6,123.69 is: 9,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.89 : 19,051.64 = 6,123.69 : x
  2. Step 2: Convert to fraction form
    12,692.89/19,051.64 = 6,123.69/x
  3. Step 3: Cross multiply
    12,692.89x = 19,051.64 × 6,123.69
  4. Step 4: Simplify right side
    12,692.89x = 116,666,337.35
  5. Step 5: Solve for x
    x = 116,666,337.35/12,692.89
  6. Step 6: Final answer
    x = 9,191.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.