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Finding the Fourth Proportional to 12,419.44, 17,138.88 and 6,830.56

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Solution

The fourth proportional to 12,419.44, 17,138.88 and 6,830.56 is: 9,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.44 : 17,138.88 = 6,830.56 : x
  2. Step 2: Convert to fraction form
    12,419.44/17,138.88 = 6,830.56/x
  3. Step 3: Cross multiply
    12,419.44x = 17,138.88 × 6,830.56
  4. Step 4: Simplify right side
    12,419.44x = 117,068,148.17
  5. Step 5: Solve for x
    x = 117,068,148.17/12,419.44
  6. Step 6: Final answer
    x = 9,426.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.