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Finding the Fourth Proportional to 12,636.06, 18,970.52 and 9,716.42

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Solution

The fourth proportional to 12,636.06, 18,970.52 and 9,716.42 is: 14,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.06 : 18,970.52 = 9,716.42 : x
  2. Step 2: Convert to fraction form
    12,636.06/18,970.52 = 9,716.42/x
  3. Step 3: Cross multiply
    12,636.06x = 18,970.52 × 9,716.42
  4. Step 4: Simplify right side
    12,636.06x = 184,325,396.50
  5. Step 5: Solve for x
    x = 184,325,396.50/12,636.06
  6. Step 6: Final answer
    x = 14,587.25

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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.