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Finding the Fourth Proportional to 14,704.78, 20,301.04 and 9,683.58

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Solution

The fourth proportional to 14,704.78, 20,301.04 and 9,683.58 is: 13,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.78 : 20,301.04 = 9,683.58 : x
  2. Step 2: Convert to fraction form
    14,704.78/20,301.04 = 9,683.58/x
  3. Step 3: Cross multiply
    14,704.78x = 20,301.04 × 9,683.58
  4. Step 4: Simplify right side
    14,704.78x = 196,586,744.92
  5. Step 5: Solve for x
    x = 196,586,744.92/14,704.78
  6. Step 6: Final answer
    x = 13,368.90

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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.