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Finding the Fourth Proportional to 13,931.94, 20,893.44 and 4,569.42

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Solution

The fourth proportional to 13,931.94, 20,893.44 and 4,569.42 is: 6,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.94 : 20,893.44 = 4,569.42 : x
  2. Step 2: Convert to fraction form
    13,931.94/20,893.44 = 4,569.42/x
  3. Step 3: Cross multiply
    13,931.94x = 20,893.44 × 4,569.42
  4. Step 4: Simplify right side
    13,931.94x = 95,470,902.60
  5. Step 5: Solve for x
    x = 95,470,902.60/13,931.94
  6. Step 6: Final answer
    x = 6,852.66

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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.