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Finding the Fourth Proportional to 19,326, 28,998.72 and 7,649.04

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Solution

The fourth proportional to 19,326, 28,998.72 and 7,649.04 is: 11,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,326 : 28,998.72 = 7,649.04 : x
  2. Step 2: Convert to fraction form
    19,326/28,998.72 = 7,649.04/x
  3. Step 3: Cross multiply
    19,326x = 28,998.72 × 7,649.04
  4. Step 4: Simplify right side
    19,326x = 221,812,369.23
  5. Step 5: Solve for x
    x = 221,812,369.23/19,326
  6. Step 6: Final answer
    x = 11,477.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.