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Finding the Fourth Proportional to 12,210.86, 16,852.24 and 7,431.14

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Solution

The fourth proportional to 12,210.86, 16,852.24 and 7,431.14 is: 10,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.86 : 16,852.24 = 7,431.14 : x
  2. Step 2: Convert to fraction form
    12,210.86/16,852.24 = 7,431.14/x
  3. Step 3: Cross multiply
    12,210.86x = 16,852.24 × 7,431.14
  4. Step 4: Simplify right side
    12,210.86x = 125,231,354.75
  5. Step 5: Solve for x
    x = 125,231,354.75/12,210.86
  6. Step 6: Final answer
    x = 10,255.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.