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Finding the Fourth Proportional to 23,154.48, 34,746.84 and 8,363.34

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Solution

The fourth proportional to 23,154.48, 34,746.84 and 8,363.34 is: 12,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.48 : 34,746.84 = 8,363.34 : x
  2. Step 2: Convert to fraction form
    23,154.48/34,746.84 = 8,363.34/x
  3. Step 3: Cross multiply
    23,154.48x = 34,746.84 × 8,363.34
  4. Step 4: Simplify right side
    23,154.48x = 290,599,636.85
  5. Step 5: Solve for x
    x = 290,599,636.85/23,154.48
  6. Step 6: Final answer
    x = 12,550.47

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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.