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Finding the Fourth Proportional to 13,522.69, 20,256.49 and 11,032.75

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Solution

The fourth proportional to 13,522.69, 20,256.49 and 11,032.75 is: 16,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.69 : 20,256.49 = 11,032.75 : x
  2. Step 2: Convert to fraction form
    13,522.69/20,256.49 = 11,032.75/x
  3. Step 3: Cross multiply
    13,522.69x = 20,256.49 × 11,032.75
  4. Step 4: Simplify right side
    13,522.69x = 223,484,790.05
  5. Step 5: Solve for x
    x = 223,484,790.05/13,522.69
  6. Step 6: Final answer
    x = 16,526.65

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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.