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Finding the Fourth Proportional to 13,021.71, 19,532.60 and 3,160.97

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Solution

The fourth proportional to 13,021.71, 19,532.60 and 3,160.97 is: 4,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.71 : 19,532.60 = 3,160.97 : x
  2. Step 2: Convert to fraction form
    13,021.71/19,532.60 = 3,160.97/x
  3. Step 3: Cross multiply
    13,021.71x = 19,532.60 × 3,160.97
  4. Step 4: Simplify right side
    13,021.71x = 61,742,007.50
  5. Step 5: Solve for x
    x = 61,742,007.50/13,021.71
  6. Step 6: Final answer
    x = 4,741.47

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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.