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Finding the Fourth Proportional to 13,783.26, 19,020.74 and 7,495.58

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Solution

The fourth proportional to 13,783.26, 19,020.74 and 7,495.58 is: 10,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.26 : 19,020.74 = 7,495.58 : x
  2. Step 2: Convert to fraction form
    13,783.26/19,020.74 = 7,495.58/x
  3. Step 3: Cross multiply
    13,783.26x = 19,020.74 × 7,495.58
  4. Step 4: Simplify right side
    13,783.26x = 142,571,478.33
  5. Step 5: Solve for x
    x = 142,571,478.33/13,783.26
  6. Step 6: Final answer
    x = 10,343.81

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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.