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Finding the Fourth Proportional to 12,774.34, 19,141.99 and 5,374.74

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Solution

The fourth proportional to 12,774.34, 19,141.99 and 5,374.74 is: 8,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.34 : 19,141.99 = 5,374.74 : x
  2. Step 2: Convert to fraction form
    12,774.34/19,141.99 = 5,374.74/x
  3. Step 3: Cross multiply
    12,774.34x = 19,141.99 × 5,374.74
  4. Step 4: Simplify right side
    12,774.34x = 102,883,205.90
  5. Step 5: Solve for x
    x = 102,883,205.90/12,774.34
  6. Step 6: Final answer
    x = 8,053.90

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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.