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Finding the Fourth Proportional to 12,448.67, 17,170.63 and 7,409.00

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Solution

The fourth proportional to 12,448.67, 17,170.63 and 7,409.00 is: 10,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.67 : 17,170.63 = 7,409.00 : x
  2. Step 2: Convert to fraction form
    12,448.67/17,170.63 = 7,409.00/x
  3. Step 3: Cross multiply
    12,448.67x = 17,170.63 × 7,409.00
  4. Step 4: Simplify right side
    12,448.67x = 127,217,222.07
  5. Step 5: Solve for x
    x = 127,217,222.07/12,448.67
  6. Step 6: Final answer
    x = 10,219.34

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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.