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Finding the Fourth Proportional to 13,802.31, 20,701.35 and 5,037.24

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Solution

The fourth proportional to 13,802.31, 20,701.35 and 5,037.24 is: 7,555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.31 : 20,701.35 = 5,037.24 : x
  2. Step 2: Convert to fraction form
    13,802.31/20,701.35 = 5,037.24/x
  3. Step 3: Cross multiply
    13,802.31x = 20,701.35 × 5,037.24
  4. Step 4: Simplify right side
    13,802.31x = 104,277,668.27
  5. Step 5: Solve for x
    x = 104,277,668.27/13,802.31
  6. Step 6: Final answer
    x = 7,555.09

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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.