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Finding the Fourth Proportional to 13,829.32, 20,732.22 and 5,058.28

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Solution

The fourth proportional to 13,829.32, 20,732.22 and 5,058.28 is: 7,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.32 : 20,732.22 = 5,058.28 : x
  2. Step 2: Convert to fraction form
    13,829.32/20,732.22 = 5,058.28/x
  3. Step 3: Cross multiply
    13,829.32x = 20,732.22 × 5,058.28
  4. Step 4: Simplify right side
    13,829.32x = 104,869,373.78
  5. Step 5: Solve for x
    x = 104,869,373.78/13,829.32
  6. Step 6: Final answer
    x = 7,583.12

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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.