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Finding the Fourth Proportional to 23,143, 34,707.30 and 8,349.98

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Solution

The fourth proportional to 23,143, 34,707.30 and 8,349.98 is: 12,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143 : 34,707.30 = 8,349.98 : x
  2. Step 2: Convert to fraction form
    23,143/34,707.30 = 8,349.98/x
  3. Step 3: Cross multiply
    23,143x = 34,707.30 × 8,349.98
  4. Step 4: Simplify right side
    23,143x = 289,805,260.85
  5. Step 5: Solve for x
    x = 289,805,260.85/23,143
  6. Step 6: Final answer
    x = 12,522.37

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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.