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Finding the Fourth Proportional to 13,358.42, 20,032.16 and 5,957.81

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Solution

The fourth proportional to 13,358.42, 20,032.16 and 5,957.81 is: 8,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358.42 : 20,032.16 = 5,957.81 : x
  2. Step 2: Convert to fraction form
    13,358.42/20,032.16 = 5,957.81/x
  3. Step 3: Cross multiply
    13,358.42x = 20,032.16 × 5,957.81
  4. Step 4: Simplify right side
    13,358.42x = 119,347,673.22
  5. Step 5: Solve for x
    x = 119,347,673.22/13,358.42
  6. Step 6: Final answer
    x = 8,934.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.