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Finding the Fourth Proportional to 19,143.24, 28,714.87 and 7,294.25

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Solution

The fourth proportional to 19,143.24, 28,714.87 and 7,294.25 is: 10,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,143.24 : 28,714.87 = 7,294.25 : x
  2. Step 2: Convert to fraction form
    19,143.24/28,714.87 = 7,294.25/x
  3. Step 3: Cross multiply
    19,143.24x = 28,714.87 × 7,294.25
  4. Step 4: Simplify right side
    19,143.24x = 209,453,440.50
  5. Step 5: Solve for x
    x = 209,453,440.50/19,143.24
  6. Step 6: Final answer
    x = 10,941.38

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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.