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Finding the Fourth Proportional to 12,841.90, 19,262.76 and 4,077.48

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Solution

The fourth proportional to 12,841.90, 19,262.76 and 4,077.48 is: 6,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.90 : 19,262.76 = 4,077.48 : x
  2. Step 2: Convert to fraction form
    12,841.90/19,262.76 = 4,077.48/x
  3. Step 3: Cross multiply
    12,841.90x = 19,262.76 × 4,077.48
  4. Step 4: Simplify right side
    12,841.90x = 78,543,518.64
  5. Step 5: Solve for x
    x = 78,543,518.64/12,841.90
  6. Step 6: Final answer
    x = 6,116.19

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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.