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Finding the Fourth Proportional to 12,353.80, 18,507.44 and 6,106.50

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Solution

The fourth proportional to 12,353.80, 18,507.44 and 6,106.50 is: 9,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.80 : 18,507.44 = 6,106.50 : x
  2. Step 2: Convert to fraction form
    12,353.80/18,507.44 = 6,106.50/x
  3. Step 3: Cross multiply
    12,353.80x = 18,507.44 × 6,106.50
  4. Step 4: Simplify right side
    12,353.80x = 113,015,682.36
  5. Step 5: Solve for x
    x = 113,015,682.36/12,353.80
  6. Step 6: Final answer
    x = 9,148.25

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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.