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Finding the Fourth Proportional to 12,419.18, 17,138.12 and 6,830.18

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Solution

The fourth proportional to 12,419.18, 17,138.12 and 6,830.18 is: 9,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.18 : 17,138.12 = 6,830.18 : x
  2. Step 2: Convert to fraction form
    12,419.18/17,138.12 = 6,830.18/x
  3. Step 3: Cross multiply
    12,419.18x = 17,138.12 × 6,830.18
  4. Step 4: Simplify right side
    12,419.18x = 117,056,444.46
  5. Step 5: Solve for x
    x = 117,056,444.46/12,419.18
  6. Step 6: Final answer
    x = 9,425.46

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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.