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Finding the Fourth Proportional to 13,873.04, 19,144.88 and 7,585.44

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Solution

The fourth proportional to 13,873.04, 19,144.88 and 7,585.44 is: 10,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.04 : 19,144.88 = 7,585.44 : x
  2. Step 2: Convert to fraction form
    13,873.04/19,144.88 = 7,585.44/x
  3. Step 3: Cross multiply
    13,873.04x = 19,144.88 × 7,585.44
  4. Step 4: Simplify right side
    13,873.04x = 145,222,338.55
  5. Step 5: Solve for x
    x = 145,222,338.55/13,873.04
  6. Step 6: Final answer
    x = 10,467.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.