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Finding the Fourth Proportional to 13,689.69, 20,537.75 and 5,792.91

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Solution

The fourth proportional to 13,689.69, 20,537.75 and 5,792.91 is: 8,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.69 : 20,537.75 = 5,792.91 : x
  2. Step 2: Convert to fraction form
    13,689.69/20,537.75 = 5,792.91/x
  3. Step 3: Cross multiply
    13,689.69x = 20,537.75 × 5,792.91
  4. Step 4: Simplify right side
    13,689.69x = 118,973,308.39
  5. Step 5: Solve for x
    x = 118,973,308.39/13,689.69
  6. Step 6: Final answer
    x = 8,690.72

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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.