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Finding the Fourth Proportional to 13,196.84, 19,709.54 and 11,447.24

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Solution

The fourth proportional to 13,196.84, 19,709.54 and 11,447.24 is: 17,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.84 : 19,709.54 = 11,447.24 : x
  2. Step 2: Convert to fraction form
    13,196.84/19,709.54 = 11,447.24/x
  3. Step 3: Cross multiply
    13,196.84x = 19,709.54 × 11,447.24
  4. Step 4: Simplify right side
    13,196.84x = 225,619,834.67
  5. Step 5: Solve for x
    x = 225,619,834.67/13,196.84
  6. Step 6: Final answer
    x = 17,096.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.