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Finding the Fourth Proportional to 14,052.76, 21,080.34 and 3,664.50

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Solution

The fourth proportional to 14,052.76, 21,080.34 and 3,664.50 is: 5,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.76 : 21,080.34 = 3,664.50 : x
  2. Step 2: Convert to fraction form
    14,052.76/21,080.34 = 3,664.50/x
  3. Step 3: Cross multiply
    14,052.76x = 21,080.34 × 3,664.50
  4. Step 4: Simplify right side
    14,052.76x = 77,248,905.93
  5. Step 5: Solve for x
    x = 77,248,905.93/14,052.76
  6. Step 6: Final answer
    x = 5,497.06

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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.