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Finding the Fourth Proportional to 13,907.36, 19,196.18 and 7,942.28

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Solution

The fourth proportional to 13,907.36, 19,196.18 and 7,942.28 is: 10,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.36 : 19,196.18 = 7,942.28 : x
  2. Step 2: Convert to fraction form
    13,907.36/19,196.18 = 7,942.28/x
  3. Step 3: Cross multiply
    13,907.36x = 19,196.18 × 7,942.28
  4. Step 4: Simplify right side
    13,907.36x = 152,461,436.49
  5. Step 5: Solve for x
    x = 152,461,436.49/13,907.36
  6. Step 6: Final answer
    x = 10,962.64

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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.