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Finding the Fourth Proportional to 20,929.66, 28,882.80 and 12,546.16

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Solution

The fourth proportional to 20,929.66, 28,882.80 and 12,546.16 is: 17,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.66 : 28,882.80 = 12,546.16 : x
  2. Step 2: Convert to fraction form
    20,929.66/28,882.80 = 12,546.16/x
  3. Step 3: Cross multiply
    20,929.66x = 28,882.80 × 12,546.16
  4. Step 4: Simplify right side
    20,929.66x = 362,368,230.05
  5. Step 5: Solve for x
    x = 362,368,230.05/20,929.66
  6. Step 6: Final answer
    x = 17,313.62

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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.