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Finding the Fourth Proportional to 13,008.42, 17,950.27 and 7,343.48

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Solution

The fourth proportional to 13,008.42, 17,950.27 and 7,343.48 is: 10,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.42 : 17,950.27 = 7,343.48 : x
  2. Step 2: Convert to fraction form
    13,008.42/17,950.27 = 7,343.48/x
  3. Step 3: Cross multiply
    13,008.42x = 17,950.27 × 7,343.48
  4. Step 4: Simplify right side
    13,008.42x = 131,817,448.74
  5. Step 5: Solve for x
    x = 131,817,448.74/13,008.42
  6. Step 6: Final answer
    x = 10,133.24

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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.