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Finding the Fourth Proportional to 12,965.06, 19,447.59 and 4,645.59

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Solution

The fourth proportional to 12,965.06, 19,447.59 and 4,645.59 is: 6,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.06 : 19,447.59 = 4,645.59 : x
  2. Step 2: Convert to fraction form
    12,965.06/19,447.59 = 4,645.59/x
  3. Step 3: Cross multiply
    12,965.06x = 19,447.59 × 4,645.59
  4. Step 4: Simplify right side
    12,965.06x = 90,345,474.12
  5. Step 5: Solve for x
    x = 90,345,474.12/12,965.06
  6. Step 6: Final answer
    x = 6,968.38

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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.