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Finding the Fourth Proportional to 13,009.44, 17,950.32 and 7,419.36

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Solution

The fourth proportional to 13,009.44, 17,950.32 and 7,419.36 is: 10,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.44 : 17,950.32 = 7,419.36 : x
  2. Step 2: Convert to fraction form
    13,009.44/17,950.32 = 7,419.36/x
  3. Step 3: Cross multiply
    13,009.44x = 17,950.32 × 7,419.36
  4. Step 4: Simplify right side
    13,009.44x = 133,179,886.20
  5. Step 5: Solve for x
    x = 133,179,886.20/13,009.44
  6. Step 6: Final answer
    x = 10,237.17

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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.