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Finding the Fourth Proportional to 19,969.60, 29,954.40 and 6,116.80

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Solution

The fourth proportional to 19,969.60, 29,954.40 and 6,116.80 is: 9,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.60 : 29,954.40 = 6,116.80 : x
  2. Step 2: Convert to fraction form
    19,969.60/29,954.40 = 6,116.80/x
  3. Step 3: Cross multiply
    19,969.60x = 29,954.40 × 6,116.80
  4. Step 4: Simplify right side
    19,969.60x = 183,225,073.92
  5. Step 5: Solve for x
    x = 183,225,073.92/19,969.60
  6. Step 6: Final answer
    x = 9,175.20

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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.