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Finding the Fourth Proportional to 13,007.81, 17,950.83 and 7,039.47

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Solution

The fourth proportional to 13,007.81, 17,950.83 and 7,039.47 is: 9,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.81 : 17,950.83 = 7,039.47 : x
  2. Step 2: Convert to fraction form
    13,007.81/17,950.83 = 7,039.47/x
  3. Step 3: Cross multiply
    13,007.81x = 17,950.83 × 7,039.47
  4. Step 4: Simplify right side
    13,007.81x = 126,364,338.94
  5. Step 5: Solve for x
    x = 126,364,338.94/13,007.81
  6. Step 6: Final answer
    x = 9,714.50

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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.