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Finding the Fourth Proportional to 23,146.50, 34,712.58 and 8,353.50

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Solution

The fourth proportional to 23,146.50, 34,712.58 and 8,353.50 is: 12,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.50 : 34,712.58 = 8,353.50 : x
  2. Step 2: Convert to fraction form
    23,146.50/34,712.58 = 8,353.50/x
  3. Step 3: Cross multiply
    23,146.50x = 34,712.58 × 8,353.50
  4. Step 4: Simplify right side
    23,146.50x = 289,971,537.03
  5. Step 5: Solve for x
    x = 289,971,537.03/23,146.50
  6. Step 6: Final answer
    x = 12,527.66

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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.