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Finding the Fourth Proportional to 13,608.42, 20,417.04 and 6,678.06

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Solution

The fourth proportional to 13,608.42, 20,417.04 and 6,678.06 is: 10,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.42 : 20,417.04 = 6,678.06 : x
  2. Step 2: Convert to fraction form
    13,608.42/20,417.04 = 6,678.06/x
  3. Step 3: Cross multiply
    13,608.42x = 20,417.04 × 6,678.06
  4. Step 4: Simplify right side
    13,608.42x = 136,346,218.14
  5. Step 5: Solve for x
    x = 136,346,218.14/13,608.42
  6. Step 6: Final answer
    x = 10,019.25

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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.