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Finding the Fourth Proportional to 12,841.74, 19,260.54 and 4,074.66

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Solution

The fourth proportional to 12,841.74, 19,260.54 and 4,074.66 is: 6,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.74 : 19,260.54 = 4,074.66 : x
  2. Step 2: Convert to fraction form
    12,841.74/19,260.54 = 4,074.66/x
  3. Step 3: Cross multiply
    12,841.74x = 19,260.54 × 4,074.66
  4. Step 4: Simplify right side
    12,841.74x = 78,480,151.92
  5. Step 5: Solve for x
    x = 78,480,151.92/12,841.74
  6. Step 6: Final answer
    x = 6,111.33

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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.