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Finding the Fourth Proportional to 23,069.30, 34,604.01 and 13,201.74

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Solution

The fourth proportional to 23,069.30, 34,604.01 and 13,201.74 is: 19,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069.30 : 34,604.01 = 13,201.74 : x
  2. Step 2: Convert to fraction form
    23,069.30/34,604.01 = 13,201.74/x
  3. Step 3: Cross multiply
    23,069.30x = 34,604.01 × 13,201.74
  4. Step 4: Simplify right side
    23,069.30x = 456,833,142.98
  5. Step 5: Solve for x
    x = 456,833,142.98/23,069.30
  6. Step 6: Final answer
    x = 19,802.65

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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.