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Finding the Fourth Proportional to 14,652.30, 21,983.56 and 10,653.42

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Solution

The fourth proportional to 14,652.30, 21,983.56 and 10,653.42 is: 15,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.30 : 21,983.56 = 10,653.42 : x
  2. Step 2: Convert to fraction form
    14,652.30/21,983.56 = 10,653.42/x
  3. Step 3: Cross multiply
    14,652.30x = 21,983.56 × 10,653.42
  4. Step 4: Simplify right side
    14,652.30x = 234,200,097.78
  5. Step 5: Solve for x
    x = 234,200,097.78/14,652.30
  6. Step 6: Final answer
    x = 15,983.85

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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.