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Finding the Fourth Proportional to 23,114.50, 34,677.51 and 6,698.50

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Solution

The fourth proportional to 23,114.50, 34,677.51 and 6,698.50 is: 10,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.50 : 34,677.51 = 6,698.50 : x
  2. Step 2: Convert to fraction form
    23,114.50/34,677.51 = 6,698.50/x
  3. Step 3: Cross multiply
    23,114.50x = 34,677.51 × 6,698.50
  4. Step 4: Simplify right side
    23,114.50x = 232,287,300.74
  5. Step 5: Solve for x
    x = 232,287,300.74/23,114.50
  6. Step 6: Final answer
    x = 10,049.42

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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.