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Finding the Fourth Proportional to 12,733.64, 17,573.94 and 7,145.48

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Solution

The fourth proportional to 12,733.64, 17,573.94 and 7,145.48 is: 9,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.64 : 17,573.94 = 7,145.48 : x
  2. Step 2: Convert to fraction form
    12,733.64/17,573.94 = 7,145.48/x
  3. Step 3: Cross multiply
    12,733.64x = 17,573.94 × 7,145.48
  4. Step 4: Simplify right side
    12,733.64x = 125,574,236.79
  5. Step 5: Solve for x
    x = 125,574,236.79/12,733.64
  6. Step 6: Final answer
    x = 9,861.61

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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.