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Finding the Fourth Proportional to 20,211.60, 27,892.50 and 11,259.25

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Solution

The fourth proportional to 20,211.60, 27,892.50 and 11,259.25 is: 15,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.60 : 27,892.50 = 11,259.25 : x
  2. Step 2: Convert to fraction form
    20,211.60/27,892.50 = 11,259.25/x
  3. Step 3: Cross multiply
    20,211.60x = 27,892.50 × 11,259.25
  4. Step 4: Simplify right side
    20,211.60x = 314,048,630.63
  5. Step 5: Solve for x
    x = 314,048,630.63/20,211.60
  6. Step 6: Final answer
    x = 15,538.04

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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.