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Finding the Fourth Proportional to 12,259.67, 18,386.46 and 3,494.66

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Solution

The fourth proportional to 12,259.67, 18,386.46 and 3,494.66 is: 5,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.67 : 18,386.46 = 3,494.66 : x
  2. Step 2: Convert to fraction form
    12,259.67/18,386.46 = 3,494.66/x
  3. Step 3: Cross multiply
    12,259.67x = 18,386.46 × 3,494.66
  4. Step 4: Simplify right side
    12,259.67x = 64,254,334.37
  5. Step 5: Solve for x
    x = 64,254,334.37/12,259.67
  6. Step 6: Final answer
    x = 5,241.12

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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.