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Finding the Fourth Proportional to 25,986.84, 38,991.78 and 9,567

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Solution

The fourth proportional to 25,986.84, 38,991.78 and 9,567 is: 14,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986.84 : 38,991.78 = 9,567 : x
  2. Step 2: Convert to fraction form
    25,986.84/38,991.78 = 9,567/x
  3. Step 3: Cross multiply
    25,986.84x = 38,991.78 × 9,567
  4. Step 4: Simplify right side
    25,986.84x = 373,034,359.26
  5. Step 5: Solve for x
    x = 373,034,359.26/25,986.84
  6. Step 6: Final answer
    x = 14,354.74

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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.