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Finding the Fourth Proportional to 23,461.58, 35,185.09 and 8,466.76

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Solution

The fourth proportional to 23,461.58, 35,185.09 and 8,466.76 is: 12,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.58 : 35,185.09 = 8,466.76 : x
  2. Step 2: Convert to fraction form
    23,461.58/35,185.09 = 8,466.76/x
  3. Step 3: Cross multiply
    23,461.58x = 35,185.09 × 8,466.76
  4. Step 4: Simplify right side
    23,461.58x = 297,903,557.85
  5. Step 5: Solve for x
    x = 297,903,557.85/23,461.58
  6. Step 6: Final answer
    x = 12,697.50

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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.