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Finding the Fourth Proportional to 25,562.58, 38,355.21 and 9,974.94

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Solution

The fourth proportional to 25,562.58, 38,355.21 and 9,974.94 is: 14,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,562.58 : 38,355.21 = 9,974.94 : x
  2. Step 2: Convert to fraction form
    25,562.58/38,355.21 = 9,974.94/x
  3. Step 3: Cross multiply
    25,562.58x = 38,355.21 × 9,974.94
  4. Step 4: Simplify right side
    25,562.58x = 382,590,918.44
  5. Step 5: Solve for x
    x = 382,590,918.44/25,562.58
  6. Step 6: Final answer
    x = 14,966.84

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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.