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Finding the Fourth Proportional to 25,461, 38,201.22 and 9,879.84

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Solution

The fourth proportional to 25,461, 38,201.22 and 9,879.84 is: 14,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,461 : 38,201.22 = 9,879.84 : x
  2. Step 2: Convert to fraction form
    25,461/38,201.22 = 9,879.84/x
  3. Step 3: Cross multiply
    25,461x = 38,201.22 × 9,879.84
  4. Step 4: Simplify right side
    25,461x = 377,421,941.40
  5. Step 5: Solve for x
    x = 377,421,941.40/25,461
  6. Step 6: Final answer
    x = 14,823.53

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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.