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Finding the Fourth Proportional to 12,460.42, 18,696.71 and 5,884.84

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Solution

The fourth proportional to 12,460.42, 18,696.71 and 5,884.84 is: 8,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.42 : 18,696.71 = 5,884.84 : x
  2. Step 2: Convert to fraction form
    12,460.42/18,696.71 = 5,884.84/x
  3. Step 3: Cross multiply
    12,460.42x = 18,696.71 × 5,884.84
  4. Step 4: Simplify right side
    12,460.42x = 110,027,146.88
  5. Step 5: Solve for x
    x = 110,027,146.88/12,460.42
  6. Step 6: Final answer
    x = 8,830.13

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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.