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Finding the Fourth Proportional to 13,782.90, 19,020.40 and 7,495.26

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Solution

The fourth proportional to 13,782.90, 19,020.40 and 7,495.26 is: 10,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.90 : 19,020.40 = 7,495.26 : x
  2. Step 2: Convert to fraction form
    13,782.90/19,020.40 = 7,495.26/x
  3. Step 3: Cross multiply
    13,782.90x = 19,020.40 × 7,495.26
  4. Step 4: Simplify right side
    13,782.90x = 142,562,843.30
  5. Step 5: Solve for x
    x = 142,562,843.30/13,782.90
  6. Step 6: Final answer
    x = 10,343.46

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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.