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Finding the Fourth Proportional to 12,584.30, 17,365.95 and 6,919.02

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Solution

The fourth proportional to 12,584.30, 17,365.95 and 6,919.02 is: 9,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.30 : 17,365.95 = 6,919.02 : x
  2. Step 2: Convert to fraction form
    12,584.30/17,365.95 = 6,919.02/x
  3. Step 3: Cross multiply
    12,584.30x = 17,365.95 × 6,919.02
  4. Step 4: Simplify right side
    12,584.30x = 120,155,355.37
  5. Step 5: Solve for x
    x = 120,155,355.37/12,584.30
  6. Step 6: Final answer
    x = 9,548.04

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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.