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Finding the Fourth Proportional to 16,683.60, 23,023.32 and 9,973.14

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Solution

The fourth proportional to 16,683.60, 23,023.32 and 9,973.14 is: 13,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.60 : 23,023.32 = 9,973.14 : x
  2. Step 2: Convert to fraction form
    16,683.60/23,023.32 = 9,973.14/x
  3. Step 3: Cross multiply
    16,683.60x = 23,023.32 × 9,973.14
  4. Step 4: Simplify right side
    16,683.60x = 229,614,793.62
  5. Step 5: Solve for x
    x = 229,614,793.62/16,683.60
  6. Step 6: Final answer
    x = 13,762.90

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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.