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Finding the Fourth Proportional to 12,880.74, 19,323.63 and 4,116.18

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Solution

The fourth proportional to 12,880.74, 19,323.63 and 4,116.18 is: 6,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.74 : 19,323.63 = 4,116.18 : x
  2. Step 2: Convert to fraction form
    12,880.74/19,323.63 = 4,116.18/x
  3. Step 3: Cross multiply
    12,880.74x = 19,323.63 × 4,116.18
  4. Step 4: Simplify right side
    12,880.74x = 79,539,539.33
  5. Step 5: Solve for x
    x = 79,539,539.33/12,880.74
  6. Step 6: Final answer
    x = 6,175.08

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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.