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Finding the Fourth Proportional to 12,495.14, 17,242.71 and 6,830.18

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Solution

The fourth proportional to 12,495.14, 17,242.71 and 6,830.18 is: 9,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.14 : 17,242.71 = 6,830.18 : x
  2. Step 2: Convert to fraction form
    12,495.14/17,242.71 = 6,830.18/x
  3. Step 3: Cross multiply
    12,495.14x = 17,242.71 × 6,830.18
  4. Step 4: Simplify right side
    12,495.14x = 117,770,812.99
  5. Step 5: Solve for x
    x = 117,770,812.99/12,495.14
  6. Step 6: Final answer
    x = 9,425.33

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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.