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Finding the Fourth Proportional to 20,892.16, 28,829.84 and 11,458.72

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Solution

The fourth proportional to 20,892.16, 28,829.84 and 11,458.72 is: 15,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.16 : 28,829.84 = 11,458.72 : x
  2. Step 2: Convert to fraction form
    20,892.16/28,829.84 = 11,458.72/x
  3. Step 3: Cross multiply
    20,892.16x = 28,829.84 × 11,458.72
  4. Step 4: Simplify right side
    20,892.16x = 330,353,064.20
  5. Step 5: Solve for x
    x = 330,353,064.20/20,892.16
  6. Step 6: Final answer
    x = 15,812.30

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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.