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Finding the Fourth Proportional to 12,319.08, 16,998.74 and 6,941.64

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Solution

The fourth proportional to 12,319.08, 16,998.74 and 6,941.64 is: 9,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.08 : 16,998.74 = 6,941.64 : x
  2. Step 2: Convert to fraction form
    12,319.08/16,998.74 = 6,941.64/x
  3. Step 3: Cross multiply
    12,319.08x = 16,998.74 × 6,941.64
  4. Step 4: Simplify right side
    12,319.08x = 117,999,133.53
  5. Step 5: Solve for x
    x = 117,999,133.53/12,319.08
  6. Step 6: Final answer
    x = 9,578.57

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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.