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Finding the Fourth Proportional to 13,129.25, 19,693.88 and 3,401.25

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Solution

The fourth proportional to 13,129.25, 19,693.88 and 3,401.25 is: 5,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.25 : 19,693.88 = 3,401.25 : x
  2. Step 2: Convert to fraction form
    13,129.25/19,693.88 = 3,401.25/x
  3. Step 3: Cross multiply
    13,129.25x = 19,693.88 × 3,401.25
  4. Step 4: Simplify right side
    13,129.25x = 66,983,792.34
  5. Step 5: Solve for x
    x = 66,983,792.34/13,129.25
  6. Step 6: Final answer
    x = 5,101.88

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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.