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Finding the Fourth Proportional to 19,346.31, 29,019.45 and 12,770.95

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Solution

The fourth proportional to 19,346.31, 29,019.45 and 12,770.95 is: 19,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,346.31 : 29,019.45 = 12,770.95 : x
  2. Step 2: Convert to fraction form
    19,346.31/29,019.45 = 12,770.95/x
  3. Step 3: Cross multiply
    19,346.31x = 29,019.45 × 12,770.95
  4. Step 4: Simplify right side
    19,346.31x = 370,605,944.98
  5. Step 5: Solve for x
    x = 370,605,944.98/19,346.31
  6. Step 6: Final answer
    x = 19,156.42

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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.