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Finding the Fourth Proportional to 12,620.73, 17,416.64 and 7,585.05

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Solution

The fourth proportional to 12,620.73, 17,416.64 and 7,585.05 is: 10,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.73 : 17,416.64 = 7,585.05 : x
  2. Step 2: Convert to fraction form
    12,620.73/17,416.64 = 7,585.05/x
  3. Step 3: Cross multiply
    12,620.73x = 17,416.64 × 7,585.05
  4. Step 4: Simplify right side
    12,620.73x = 132,106,047.31
  5. Step 5: Solve for x
    x = 132,106,047.31/12,620.73
  6. Step 6: Final answer
    x = 10,467.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.