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Finding the Fourth Proportional to 25,849.40, 38,763.06 and 9,828.44

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Solution

The fourth proportional to 25,849.40, 38,763.06 and 9,828.44 is: 14,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849.40 : 38,763.06 = 9,828.44 : x
  2. Step 2: Convert to fraction form
    25,849.40/38,763.06 = 9,828.44/x
  3. Step 3: Cross multiply
    25,849.40x = 38,763.06 × 9,828.44
  4. Step 4: Simplify right side
    25,849.40x = 380,980,409.43
  5. Step 5: Solve for x
    x = 380,980,409.43/25,849.40
  6. Step 6: Final answer
    x = 14,738.46

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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.