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Finding the Fourth Proportional to 23,116.94, 34,682.69 and 9,975.50

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Solution

The fourth proportional to 23,116.94, 34,682.69 and 9,975.50 is: 14,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.94 : 34,682.69 = 9,975.50 : x
  2. Step 2: Convert to fraction form
    23,116.94/34,682.69 = 9,975.50/x
  3. Step 3: Cross multiply
    23,116.94x = 34,682.69 × 9,975.50
  4. Step 4: Simplify right side
    23,116.94x = 345,977,025.62
  5. Step 5: Solve for x
    x = 345,977,025.62/23,116.94
  6. Step 6: Final answer
    x = 14,966.39

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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.