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Finding the Fourth Proportional to 23,712.90, 35,571.15 and 7,071.63

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Solution

The fourth proportional to 23,712.90, 35,571.15 and 7,071.63 is: 10,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.90 : 35,571.15 = 7,071.63 : x
  2. Step 2: Convert to fraction form
    23,712.90/35,571.15 = 7,071.63/x
  3. Step 3: Cross multiply
    23,712.90x = 35,571.15 × 7,071.63
  4. Step 4: Simplify right side
    23,712.90x = 251,546,011.47
  5. Step 5: Solve for x
    x = 251,546,011.47/23,712.90
  6. Step 6: Final answer
    x = 10,607.98

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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.