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Finding the Fourth Proportional to 12,117.60, 18,175.80 and 3,798.42

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Solution

The fourth proportional to 12,117.60, 18,175.80 and 3,798.42 is: 5,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.60 : 18,175.80 = 3,798.42 : x
  2. Step 2: Convert to fraction form
    12,117.60/18,175.80 = 3,798.42/x
  3. Step 3: Cross multiply
    12,117.60x = 18,175.80 × 3,798.42
  4. Step 4: Simplify right side
    12,117.60x = 69,039,322.24
  5. Step 5: Solve for x
    x = 69,039,322.24/12,117.60
  6. Step 6: Final answer
    x = 5,697.44

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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.