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Finding the Fourth Proportional to 13,823.56, 19,071.09 and 7,772.41

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Solution

The fourth proportional to 13,823.56, 19,071.09 and 7,772.41 is: 10,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.56 : 19,071.09 = 7,772.41 : x
  2. Step 2: Convert to fraction form
    13,823.56/19,071.09 = 7,772.41/x
  3. Step 3: Cross multiply
    13,823.56x = 19,071.09 × 7,772.41
  4. Step 4: Simplify right side
    13,823.56x = 148,228,330.63
  5. Step 5: Solve for x
    x = 148,228,330.63/13,823.56
  6. Step 6: Final answer
    x = 10,722.88

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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.