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Finding the Fourth Proportional to 23,829.40, 35,825.12 and 19,478.44

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Solution

The fourth proportional to 23,829.40, 35,825.12 and 19,478.44 is: 29,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.40 : 35,825.12 = 19,478.44 : x
  2. Step 2: Convert to fraction form
    23,829.40/35,825.12 = 19,478.44/x
  3. Step 3: Cross multiply
    23,829.40x = 35,825.12 × 19,478.44
  4. Step 4: Simplify right side
    23,829.40x = 697,817,450.41
  5. Step 5: Solve for x
    x = 697,817,450.41/23,829.40
  6. Step 6: Final answer
    x = 29,283.89

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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.