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Finding the Fourth Proportional to 13,772.32, 19,006.80 and 8,107.36

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Solution

The fourth proportional to 13,772.32, 19,006.80 and 8,107.36 is: 11,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.32 : 19,006.80 = 8,107.36 : x
  2. Step 2: Convert to fraction form
    13,772.32/19,006.80 = 8,107.36/x
  3. Step 3: Cross multiply
    13,772.32x = 19,006.80 × 8,107.36
  4. Step 4: Simplify right side
    13,772.32x = 154,094,970.05
  5. Step 5: Solve for x
    x = 154,094,970.05/13,772.32
  6. Step 6: Final answer
    x = 11,188.74

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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.