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Finding the Fourth Proportional to 13,782.69, 20,663.83 and 4,417.26

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Solution

The fourth proportional to 13,782.69, 20,663.83 and 4,417.26 is: 6,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.69 : 20,663.83 = 4,417.26 : x
  2. Step 2: Convert to fraction form
    13,782.69/20,663.83 = 4,417.26/x
  3. Step 3: Cross multiply
    13,782.69x = 20,663.83 × 4,417.26
  4. Step 4: Simplify right side
    13,782.69x = 91,277,509.71
  5. Step 5: Solve for x
    x = 91,277,509.71/13,782.69
  6. Step 6: Final answer
    x = 6,622.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.