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Finding the Fourth Proportional to 12,156.32, 16,775.16 and 7,441.04

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Solution

The fourth proportional to 12,156.32, 16,775.16 and 7,441.04 is: 10,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.32 : 16,775.16 = 7,441.04 : x
  2. Step 2: Convert to fraction form
    12,156.32/16,775.16 = 7,441.04/x
  3. Step 3: Cross multiply
    12,156.32x = 16,775.16 × 7,441.04
  4. Step 4: Simplify right side
    12,156.32x = 124,824,636.57
  5. Step 5: Solve for x
    x = 124,824,636.57/12,156.32
  6. Step 6: Final answer
    x = 10,268.29

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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.