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Finding the Fourth Proportional to 12,378.36, 18,564.06 and 3,493.08

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Solution

The fourth proportional to 12,378.36, 18,564.06 and 3,493.08 is: 5,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.36 : 18,564.06 = 3,493.08 : x
  2. Step 2: Convert to fraction form
    12,378.36/18,564.06 = 3,493.08/x
  3. Step 3: Cross multiply
    12,378.36x = 18,564.06 × 3,493.08
  4. Step 4: Simplify right side
    12,378.36x = 64,845,746.70
  5. Step 5: Solve for x
    x = 64,845,746.70/12,378.36
  6. Step 6: Final answer
    x = 5,238.64

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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.