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Finding the Fourth Proportional to 24,738.12, 37,108.08 and 7,209.36

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Solution

The fourth proportional to 24,738.12, 37,108.08 and 7,209.36 is: 10,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.12 : 37,108.08 = 7,209.36 : x
  2. Step 2: Convert to fraction form
    24,738.12/37,108.08 = 7,209.36/x
  3. Step 3: Cross multiply
    24,738.12x = 37,108.08 × 7,209.36
  4. Step 4: Simplify right side
    24,738.12x = 267,525,507.63
  5. Step 5: Solve for x
    x = 267,525,507.63/24,738.12
  6. Step 6: Final answer
    x = 10,814.30

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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.