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Finding the Fourth Proportional to 19,341, 29,024.46 and 7,029

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Solution

The fourth proportional to 19,341, 29,024.46 and 7,029 is: 10,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,341 : 29,024.46 = 7,029 : x
  2. Step 2: Convert to fraction form
    19,341/29,024.46 = 7,029/x
  3. Step 3: Cross multiply
    19,341x = 29,024.46 × 7,029
  4. Step 4: Simplify right side
    19,341x = 204,012,929.34
  5. Step 5: Solve for x
    x = 204,012,929.34/19,341
  6. Step 6: Final answer
    x = 10,548.21

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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.