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Finding the Fourth Proportional to 12,681.12, 19,023.74 and 3,914

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Solution

The fourth proportional to 12,681.12, 19,023.74 and 3,914 is: 5,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.12 : 19,023.74 = 3,914 : x
  2. Step 2: Convert to fraction form
    12,681.12/19,023.74 = 3,914/x
  3. Step 3: Cross multiply
    12,681.12x = 19,023.74 × 3,914
  4. Step 4: Simplify right side
    12,681.12x = 74,458,918.36
  5. Step 5: Solve for x
    x = 74,458,918.36/12,681.12
  6. Step 6: Final answer
    x = 5,871.64

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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.