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Finding the Fourth Proportional to 13,237.12, 18,266.16 and 7,648.48

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Solution

The fourth proportional to 13,237.12, 18,266.16 and 7,648.48 is: 10,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.12 : 18,266.16 = 7,648.48 : x
  2. Step 2: Convert to fraction form
    13,237.12/18,266.16 = 7,648.48/x
  3. Step 3: Cross multiply
    13,237.12x = 18,266.16 × 7,648.48
  4. Step 4: Simplify right side
    13,237.12x = 139,708,359.44
  5. Step 5: Solve for x
    x = 139,708,359.44/13,237.12
  6. Step 6: Final answer
    x = 10,554.29

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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.