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Finding the Fourth Proportional to 12,109.64, 18,164.10 and 3,345.08

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Solution

The fourth proportional to 12,109.64, 18,164.10 and 3,345.08 is: 5,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.64 : 18,164.10 = 3,345.08 : x
  2. Step 2: Convert to fraction form
    12,109.64/18,164.10 = 3,345.08/x
  3. Step 3: Cross multiply
    12,109.64x = 18,164.10 × 3,345.08
  4. Step 4: Simplify right side
    12,109.64x = 60,760,367.63
  5. Step 5: Solve for x
    x = 60,760,367.63/12,109.64
  6. Step 6: Final answer
    x = 5,017.52

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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.