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Finding the Fourth Proportional to 12,445.34, 17,174.61 and 7,409.75

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Solution

The fourth proportional to 12,445.34, 17,174.61 and 7,409.75 is: 10,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,445.34 : 17,174.61 = 7,409.75 : x
  2. Step 2: Convert to fraction form
    12,445.34/17,174.61 = 7,409.75/x
  3. Step 3: Cross multiply
    12,445.34x = 17,174.61 × 7,409.75
  4. Step 4: Simplify right side
    12,445.34x = 127,259,480.57
  5. Step 5: Solve for x
    x = 127,259,480.57/12,445.34
  6. Step 6: Final answer
    x = 10,225.48

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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.