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Finding the Fourth Proportional to 13,196.84, 19,795.06 and 5,301.38

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Solution

The fourth proportional to 13,196.84, 19,795.06 and 5,301.38 is: 7,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.84 : 19,795.06 = 5,301.38 : x
  2. Step 2: Convert to fraction form
    13,196.84/19,795.06 = 5,301.38/x
  3. Step 3: Cross multiply
    13,196.84x = 19,795.06 × 5,301.38
  4. Step 4: Simplify right side
    13,196.84x = 104,941,135.18
  5. Step 5: Solve for x
    x = 104,941,135.18/13,196.84
  6. Step 6: Final answer
    x = 7,951.99

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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.