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Finding the Fourth Proportional to 12,741.68, 19,112.54 and 4,950.50

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Solution

The fourth proportional to 12,741.68, 19,112.54 and 4,950.50 is: 7,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.68 : 19,112.54 = 4,950.50 : x
  2. Step 2: Convert to fraction form
    12,741.68/19,112.54 = 4,950.50/x
  3. Step 3: Cross multiply
    12,741.68x = 19,112.54 × 4,950.50
  4. Step 4: Simplify right side
    12,741.68x = 94,616,508.95
  5. Step 5: Solve for x
    x = 94,616,508.95/12,741.68
  6. Step 6: Final answer
    x = 7,425.75

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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.