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Finding the Fourth Proportional to 12,692.49, 19,024.16 and 6,442.53

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Solution

The fourth proportional to 12,692.49, 19,024.16 and 6,442.53 is: 9,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.49 : 19,024.16 = 6,442.53 : x
  2. Step 2: Convert to fraction form
    12,692.49/19,024.16 = 6,442.53/x
  3. Step 3: Cross multiply
    12,692.49x = 19,024.16 × 6,442.53
  4. Step 4: Simplify right side
    12,692.49x = 122,563,689.31
  5. Step 5: Solve for x
    x = 122,563,689.31/12,692.49
  6. Step 6: Final answer
    x = 9,656.39

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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.