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Finding the Fourth Proportional to 13,144.73, 19,710.81 and 7,219.58

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Solution

The fourth proportional to 13,144.73, 19,710.81 and 7,219.58 is: 10,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.73 : 19,710.81 = 7,219.58 : x
  2. Step 2: Convert to fraction form
    13,144.73/19,710.81 = 7,219.58/x
  3. Step 3: Cross multiply
    13,144.73x = 19,710.81 × 7,219.58
  4. Step 4: Simplify right side
    13,144.73x = 142,303,671.11
  5. Step 5: Solve for x
    x = 142,303,671.11/13,144.73
  6. Step 6: Final answer
    x = 10,825.91

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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.