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Finding the Fourth Proportional to 23,645.70, 35,465.67 and 6,114.06

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Solution

The fourth proportional to 23,645.70, 35,465.67 and 6,114.06 is: 9,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.70 : 35,465.67 = 6,114.06 : x
  2. Step 2: Convert to fraction form
    23,645.70/35,465.67 = 6,114.06/x
  3. Step 3: Cross multiply
    23,645.70x = 35,465.67 × 6,114.06
  4. Step 4: Simplify right side
    23,645.70x = 216,839,234.32
  5. Step 5: Solve for x
    x = 216,839,234.32/23,645.70
  6. Step 6: Final answer
    x = 9,170.35

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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.