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Finding the Fourth Proportional to 23,045.94, 34,576.20 and 8,254.50

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Solution

The fourth proportional to 23,045.94, 34,576.20 and 8,254.50 is: 12,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.94 : 34,576.20 = 8,254.50 : x
  2. Step 2: Convert to fraction form
    23,045.94/34,576.20 = 8,254.50/x
  3. Step 3: Cross multiply
    23,045.94x = 34,576.20 × 8,254.50
  4. Step 4: Simplify right side
    23,045.94x = 285,409,242.90
  5. Step 5: Solve for x
    x = 285,409,242.90/23,045.94
  6. Step 6: Final answer
    x = 12,384.36

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1.5x scale

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.