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Finding the Fourth Proportional to 13,970.31, 19,277.86 and 8,226.85

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Solution

The fourth proportional to 13,970.31, 19,277.86 and 8,226.85 is: 11,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.31 : 19,277.86 = 8,226.85 : x
  2. Step 2: Convert to fraction form
    13,970.31/19,277.86 = 8,226.85/x
  3. Step 3: Cross multiply
    13,970.31x = 19,277.86 × 8,226.85
  4. Step 4: Simplify right side
    13,970.31x = 158,596,062.54
  5. Step 5: Solve for x
    x = 158,596,062.54/13,970.31
  6. Step 6: Final answer
    x = 11,352.37

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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.