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Finding the Fourth Proportional to 13,203.90, 19,762.65 and 10,266.30

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Solution

The fourth proportional to 13,203.90, 19,762.65 and 10,266.30 is: 15,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.90 : 19,762.65 = 10,266.30 : x
  2. Step 2: Convert to fraction form
    13,203.90/19,762.65 = 10,266.30/x
  3. Step 3: Cross multiply
    13,203.90x = 19,762.65 × 10,266.30
  4. Step 4: Simplify right side
    13,203.90x = 202,889,293.70
  5. Step 5: Solve for x
    x = 202,889,293.70/13,203.90
  6. Step 6: Final answer
    x = 15,365.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.