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Finding the Fourth Proportional to 23,604.64, 32,504.14 and 23,080.76

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Solution

The fourth proportional to 23,604.64, 32,504.14 and 23,080.76 is: 31,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.64 : 32,504.14 = 23,080.76 : x
  2. Step 2: Convert to fraction form
    23,604.64/32,504.14 = 23,080.76/x
  3. Step 3: Cross multiply
    23,604.64x = 32,504.14 × 23,080.76
  4. Step 4: Simplify right side
    23,604.64x = 750,220,254.35
  5. Step 5: Solve for x
    x = 750,220,254.35/23,604.64
  6. Step 6: Final answer
    x = 31,782.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.