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Finding the Fourth Proportional to 13,683.69, 18,885.45 and 9,919.32

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Solution

The fourth proportional to 13,683.69, 18,885.45 and 9,919.32 is: 13,690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.69 : 18,885.45 = 9,919.32 : x
  2. Step 2: Convert to fraction form
    13,683.69/18,885.45 = 9,919.32/x
  3. Step 3: Cross multiply
    13,683.69x = 18,885.45 × 9,919.32
  4. Step 4: Simplify right side
    13,683.69x = 187,330,821.89
  5. Step 5: Solve for x
    x = 187,330,821.89/13,683.69
  6. Step 6: Final answer
    x = 13,690.08

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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.