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Finding the Fourth Proportional to 12,594.63, 18,891.81 and 4,696.87

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Solution

The fourth proportional to 12,594.63, 18,891.81 and 4,696.87 is: 7,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.63 : 18,891.81 = 4,696.87 : x
  2. Step 2: Convert to fraction form
    12,594.63/18,891.81 = 4,696.87/x
  3. Step 3: Cross multiply
    12,594.63x = 18,891.81 × 4,696.87
  4. Step 4: Simplify right side
    12,594.63x = 88,732,340.15
  5. Step 5: Solve for x
    x = 88,732,340.15/12,594.63
  6. Step 6: Final answer
    x = 7,045.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.