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Finding the Fourth Proportional to 12,584.57, 17,365.68 and 7,409.63

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Solution

The fourth proportional to 12,584.57, 17,365.68 and 7,409.63 is: 10,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.57 : 17,365.68 = 7,409.63 : x
  2. Step 2: Convert to fraction form
    12,584.57/17,365.68 = 7,409.63/x
  3. Step 3: Cross multiply
    12,584.57x = 17,365.68 × 7,409.63
  4. Step 4: Simplify right side
    12,584.57x = 128,673,195.19
  5. Step 5: Solve for x
    x = 128,673,195.19/12,584.57
  6. Step 6: Final answer
    x = 10,224.68

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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.