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Finding the Fourth Proportional to 13,005.23, 17,947.09 and 7,036.77

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Solution

The fourth proportional to 13,005.23, 17,947.09 and 7,036.77 is: 9,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.23 : 17,947.09 = 7,036.77 : x
  2. Step 2: Convert to fraction form
    13,005.23/17,947.09 = 7,036.77/x
  3. Step 3: Cross multiply
    13,005.23x = 17,947.09 × 7,036.77
  4. Step 4: Simplify right side
    13,005.23x = 126,289,544.50
  5. Step 5: Solve for x
    x = 126,289,544.50/13,005.23
  6. Step 6: Final answer
    x = 9,710.67

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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.