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Finding the Fourth Proportional to 13,336.86, 20,000.49 and 4,569.42

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Solution

The fourth proportional to 13,336.86, 20,000.49 and 4,569.42 is: 6,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,336.86 : 20,000.49 = 4,569.42 : x
  2. Step 2: Convert to fraction form
    13,336.86/20,000.49 = 4,569.42/x
  3. Step 3: Cross multiply
    13,336.86x = 20,000.49 × 4,569.42
  4. Step 4: Simplify right side
    13,336.86x = 91,390,639.02
  5. Step 5: Solve for x
    x = 91,390,639.02/13,336.86
  6. Step 6: Final answer
    x = 6,852.49

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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.