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Finding the Fourth Proportional to 13,007.40, 17,952.54 and 7,704.84

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Solution

The fourth proportional to 13,007.40, 17,952.54 and 7,704.84 is: 10,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.40 : 17,952.54 = 7,704.84 : x
  2. Step 2: Convert to fraction form
    13,007.40/17,952.54 = 7,704.84/x
  3. Step 3: Cross multiply
    13,007.40x = 17,952.54 × 7,704.84
  4. Step 4: Simplify right side
    13,007.40x = 138,321,448.29
  5. Step 5: Solve for x
    x = 138,321,448.29/13,007.40
  6. Step 6: Final answer
    x = 10,634.06

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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.