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Finding the Fourth Proportional to 23,811.64, 35,720.22 and 9,031.60

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Solution

The fourth proportional to 23,811.64, 35,720.22 and 9,031.60 is: 13,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.64 : 35,720.22 = 9,031.60 : x
  2. Step 2: Convert to fraction form
    23,811.64/35,720.22 = 9,031.60/x
  3. Step 3: Cross multiply
    23,811.64x = 35,720.22 × 9,031.60
  4. Step 4: Simplify right side
    23,811.64x = 322,610,738.95
  5. Step 5: Solve for x
    x = 322,610,738.95/23,811.64
  6. Step 6: Final answer
    x = 13,548.45

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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.