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Finding the Fourth Proportional to 23,289.54, 34,939.50 and 8,498.46

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Solution

The fourth proportional to 23,289.54, 34,939.50 and 8,498.46 is: 12,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,289.54 : 34,939.50 = 8,498.46 : x
  2. Step 2: Convert to fraction form
    23,289.54/34,939.50 = 8,498.46/x
  3. Step 3: Cross multiply
    23,289.54x = 34,939.50 × 8,498.46
  4. Step 4: Simplify right side
    23,289.54x = 296,931,943.17
  5. Step 5: Solve for x
    x = 296,931,943.17/23,289.54
  6. Step 6: Final answer
    x = 12,749.58

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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.