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Finding the Fourth Proportional to 23,712.40, 35,570.40 and 7,071.13

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Solution

The fourth proportional to 23,712.40, 35,570.40 and 7,071.13 is: 10,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.40 : 35,570.40 = 7,071.13 : x
  2. Step 2: Convert to fraction form
    23,712.40/35,570.40 = 7,071.13/x
  3. Step 3: Cross multiply
    23,712.40x = 35,570.40 × 7,071.13
  4. Step 4: Simplify right side
    23,712.40x = 251,522,922.55
  5. Step 5: Solve for x
    x = 251,522,922.55/23,712.40
  6. Step 6: Final answer
    x = 10,607.23

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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.