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Finding the Fourth Proportional to 19,330.49, 28,996.34 and 9,196.65

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Solution

The fourth proportional to 19,330.49, 28,996.34 and 9,196.65 is: 13,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,330.49 : 28,996.34 = 9,196.65 : x
  2. Step 2: Convert to fraction form
    19,330.49/28,996.34 = 9,196.65/x
  3. Step 3: Cross multiply
    19,330.49x = 28,996.34 × 9,196.65
  4. Step 4: Simplify right side
    19,330.49x = 266,669,144.28
  5. Step 5: Solve for x
    x = 266,669,144.28/19,330.49
  6. Step 6: Final answer
    x = 13,795.26

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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.