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Finding the Fourth Proportional to 23,657.87, 35,480.75 and 7,014.01

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Solution

The fourth proportional to 23,657.87, 35,480.75 and 7,014.01 is: 10,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.87 : 35,480.75 = 7,014.01 : x
  2. Step 2: Convert to fraction form
    23,657.87/35,480.75 = 7,014.01/x
  3. Step 3: Cross multiply
    23,657.87x = 35,480.75 × 7,014.01
  4. Step 4: Simplify right side
    23,657.87x = 248,862,300.24
  5. Step 5: Solve for x
    x = 248,862,300.24/23,657.87
  6. Step 6: Final answer
    x = 10,519.22

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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.