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Finding the Fourth Proportional to 27,146.16, 40,725.60 and 8,425.28

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Solution

The fourth proportional to 27,146.16, 40,725.60 and 8,425.28 is: 12,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146.16 : 40,725.60 = 8,425.28 : x
  2. Step 2: Convert to fraction form
    27,146.16/40,725.60 = 8,425.28/x
  3. Step 3: Cross multiply
    27,146.16x = 40,725.60 × 8,425.28
  4. Step 4: Simplify right side
    27,146.16x = 343,124,583.17
  5. Step 5: Solve for x
    x = 343,124,583.17/27,146.16
  6. Step 6: Final answer
    x = 12,639.89

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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.