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Finding the Fourth Proportional to 19,223.30, 28,848 and 6,743.23

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Solution

The fourth proportional to 19,223.30, 28,848 and 6,743.23 is: 10,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,223.30 : 28,848 = 6,743.23 : x
  2. Step 2: Convert to fraction form
    19,223.30/28,848 = 6,743.23/x
  3. Step 3: Cross multiply
    19,223.30x = 28,848 × 6,743.23
  4. Step 4: Simplify right side
    19,223.30x = 194,528,699.04
  5. Step 5: Solve for x
    x = 194,528,699.04/19,223.30
  6. Step 6: Final answer
    x = 10,119.42

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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.