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Finding the Fourth Proportional to 12,250, 18,331.24 and 10,612.16

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Solution

The fourth proportional to 12,250, 18,331.24 and 10,612.16 is: 15,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,250 : 18,331.24 = 10,612.16 : x
  2. Step 2: Convert to fraction form
    12,250/18,331.24 = 10,612.16/x
  3. Step 3: Cross multiply
    12,250x = 18,331.24 × 10,612.16
  4. Step 4: Simplify right side
    12,250x = 194,534,051.88
  5. Step 5: Solve for x
    x = 194,534,051.88/12,250
  6. Step 6: Final answer
    x = 15,880.33

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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.