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Finding the Fourth Proportional to 14,015, 19,340.86 and 9,772.28

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Solution

The fourth proportional to 14,015, 19,340.86 and 9,772.28 is: 13,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015 : 19,340.86 = 9,772.28 : x
  2. Step 2: Convert to fraction form
    14,015/19,340.86 = 9,772.28/x
  3. Step 3: Cross multiply
    14,015x = 19,340.86 × 9,772.28
  4. Step 4: Simplify right side
    14,015x = 189,004,299.36
  5. Step 5: Solve for x
    x = 189,004,299.36/14,015
  6. Step 6: Final answer
    x = 13,485.86

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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.