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Finding the Fourth Proportional to 13,005.69, 17,950.28 and 7,416.69

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Solution

The fourth proportional to 13,005.69, 17,950.28 and 7,416.69 is: 10,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.69 : 17,950.28 = 7,416.69 : x
  2. Step 2: Convert to fraction form
    13,005.69/17,950.28 = 7,416.69/x
  3. Step 3: Cross multiply
    13,005.69x = 17,950.28 × 7,416.69
  4. Step 4: Simplify right side
    13,005.69x = 133,131,662.17
  5. Step 5: Solve for x
    x = 133,131,662.17/13,005.69
  6. Step 6: Final answer
    x = 10,236.42

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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.