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Finding the Fourth Proportional to 12,089.19, 16,683.93 and 6,784.23

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Solution

The fourth proportional to 12,089.19, 16,683.93 and 6,784.23 is: 9,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.19 : 16,683.93 = 6,784.23 : x
  2. Step 2: Convert to fraction form
    12,089.19/16,683.93 = 6,784.23/x
  3. Step 3: Cross multiply
    12,089.19x = 16,683.93 × 6,784.23
  4. Step 4: Simplify right side
    12,089.19x = 113,187,618.42
  5. Step 5: Solve for x
    x = 113,187,618.42/12,089.19
  6. Step 6: Final answer
    x = 9,362.71

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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.