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Finding the Fourth Proportional to 10,231.15, 15,256.37 and 8,986.84

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Solution

The fourth proportional to 10,231.15, 15,256.37 and 8,986.84 is: 13,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.15 : 15,256.37 = 8,986.84 : x
  2. Step 2: Convert to fraction form
    10,231.15/15,256.37 = 8,986.84/x
  3. Step 3: Cross multiply
    10,231.15x = 15,256.37 × 8,986.84
  4. Step 4: Simplify right side
    10,231.15x = 137,106,473.10
  5. Step 5: Solve for x
    x = 137,106,473.10/10,231.15
  6. Step 6: Final answer
    x = 13,400.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.