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Finding the Fourth Proportional to 23,604.36, 32,573.74 and 12,993.76

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Solution

The fourth proportional to 23,604.36, 32,573.74 and 12,993.76 is: 17,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.36 : 32,573.74 = 12,993.76 : x
  2. Step 2: Convert to fraction form
    23,604.36/32,573.74 = 12,993.76/x
  3. Step 3: Cross multiply
    23,604.36x = 32,573.74 × 12,993.76
  4. Step 4: Simplify right side
    23,604.36x = 423,255,359.86
  5. Step 5: Solve for x
    x = 423,255,359.86/23,604.36
  6. Step 6: Final answer
    x = 17,931.24

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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.