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Finding the Fourth Proportional to 23,842.12, 35,756.22 and 9,040.36

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Solution

The fourth proportional to 23,842.12, 35,756.22 and 9,040.36 is: 13,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.12 : 35,756.22 = 9,040.36 : x
  2. Step 2: Convert to fraction form
    23,842.12/35,756.22 = 9,040.36/x
  3. Step 3: Cross multiply
    23,842.12x = 35,756.22 × 9,040.36
  4. Step 4: Simplify right side
    23,842.12x = 323,249,101.04
  5. Step 5: Solve for x
    x = 323,249,101.04/23,842.12
  6. Step 6: Final answer
    x = 13,557.90

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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.