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Finding the Fourth Proportional to 23,842.58, 35,763.87 and 9,047.99

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Solution

The fourth proportional to 23,842.58, 35,763.87 and 9,047.99 is: 13,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.58 : 35,763.87 = 9,047.99 : x
  2. Step 2: Convert to fraction form
    23,842.58/35,763.87 = 9,047.99/x
  3. Step 3: Cross multiply
    23,842.58x = 35,763.87 × 9,047.99
  4. Step 4: Simplify right side
    23,842.58x = 323,590,959.30
  5. Step 5: Solve for x
    x = 323,590,959.30/23,842.58
  6. Step 6: Final answer
    x = 13,571.98

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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.