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Finding the Fourth Proportional to 13,143.01, 19,714.53 and 3,282.28

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Solution

The fourth proportional to 13,143.01, 19,714.53 and 3,282.28 is: 4,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.01 : 19,714.53 = 3,282.28 : x
  2. Step 2: Convert to fraction form
    13,143.01/19,714.53 = 3,282.28/x
  3. Step 3: Cross multiply
    13,143.01x = 19,714.53 × 3,282.28
  4. Step 4: Simplify right side
    13,143.01x = 64,708,607.53
  5. Step 5: Solve for x
    x = 64,708,607.53/13,143.01
  6. Step 6: Final answer
    x = 4,923.42

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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.