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Finding the Fourth Proportional to 13,953.69, 20,922.32 and 5,633.98

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Solution

The fourth proportional to 13,953.69, 20,922.32 and 5,633.98 is: 8,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.69 : 20,922.32 = 5,633.98 : x
  2. Step 2: Convert to fraction form
    13,953.69/20,922.32 = 5,633.98/x
  3. Step 3: Cross multiply
    13,953.69x = 20,922.32 × 5,633.98
  4. Step 4: Simplify right side
    13,953.69x = 117,875,894.21
  5. Step 5: Solve for x
    x = 117,875,894.21/13,953.69
  6. Step 6: Final answer
    x = 8,447.65

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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.