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Finding the Fourth Proportional to 14,549.60, 20,080.96 and 8,261.84

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Solution

The fourth proportional to 14,549.60, 20,080.96 and 8,261.84 is: 11,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.60 : 20,080.96 = 8,261.84 : x
  2. Step 2: Convert to fraction form
    14,549.60/20,080.96 = 8,261.84/x
  3. Step 3: Cross multiply
    14,549.60x = 20,080.96 × 8,261.84
  4. Step 4: Simplify right side
    14,549.60x = 165,905,678.57
  5. Step 5: Solve for x
    x = 165,905,678.57/14,549.60
  6. Step 6: Final answer
    x = 11,402.77

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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.