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Finding the Fourth Proportional to 14,556.35, 21,839.14 and 5,196.17

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Solution

The fourth proportional to 14,556.35, 21,839.14 and 5,196.17 is: 7,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.35 : 21,839.14 = 5,196.17 : x
  2. Step 2: Convert to fraction form
    14,556.35/21,839.14 = 5,196.17/x
  3. Step 3: Cross multiply
    14,556.35x = 21,839.14 × 5,196.17
  4. Step 4: Simplify right side
    14,556.35x = 113,479,774.90
  5. Step 5: Solve for x
    x = 113,479,774.90/14,556.35
  6. Step 6: Final answer
    x = 7,795.89

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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.