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Finding the Fourth Proportional to 14,141.60, 21,168.84 and 10,186.64

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Solution

The fourth proportional to 14,141.60, 21,168.84 and 10,186.64 is: 15,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.60 : 21,168.84 = 10,186.64 : x
  2. Step 2: Convert to fraction form
    14,141.60/21,168.84 = 10,186.64/x
  3. Step 3: Cross multiply
    14,141.60x = 21,168.84 × 10,186.64
  4. Step 4: Simplify right side
    14,141.60x = 215,639,352.30
  5. Step 5: Solve for x
    x = 215,639,352.30/14,141.60
  6. Step 6: Final answer
    x = 15,248.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.