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Finding the Fourth Proportional to 23,146.01, 34,711.84 and 8,353.01

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Solution

The fourth proportional to 23,146.01, 34,711.84 and 8,353.01 is: 12,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.01 : 34,711.84 = 8,353.01 : x
  2. Step 2: Convert to fraction form
    23,146.01/34,711.84 = 8,353.01/x
  3. Step 3: Cross multiply
    23,146.01x = 34,711.84 × 8,353.01
  4. Step 4: Simplify right side
    23,146.01x = 289,948,346.64
  5. Step 5: Solve for x
    x = 289,948,346.64/23,146.01
  6. Step 6: Final answer
    x = 12,526.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.