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Finding the Fourth Proportional to 12,348.81, 17,041.23 and 6,683.43

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Solution

The fourth proportional to 12,348.81, 17,041.23 and 6,683.43 is: 9,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.81 : 17,041.23 = 6,683.43 : x
  2. Step 2: Convert to fraction form
    12,348.81/17,041.23 = 6,683.43/x
  3. Step 3: Cross multiply
    12,348.81x = 17,041.23 × 6,683.43
  4. Step 4: Simplify right side
    12,348.81x = 113,893,867.82
  5. Step 5: Solve for x
    x = 113,893,867.82/12,348.81
  6. Step 6: Final answer
    x = 9,223.06

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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.