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Finding the Fourth Proportional to 12,823.64, 17,696.94 and 7,235

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Solution

The fourth proportional to 12,823.64, 17,696.94 and 7,235 is: 9,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.64 : 17,696.94 = 7,235 : x
  2. Step 2: Convert to fraction form
    12,823.64/17,696.94 = 7,235/x
  3. Step 3: Cross multiply
    12,823.64x = 17,696.94 × 7,235
  4. Step 4: Simplify right side
    12,823.64x = 128,037,360.90
  5. Step 5: Solve for x
    x = 128,037,360.90/12,823.64
  6. Step 6: Final answer
    x = 9,984.48

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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.