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Finding the Fourth Proportional to 20,646.34, 30,929.72 and 12,333.02

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Solution

The fourth proportional to 20,646.34, 30,929.72 and 12,333.02 is: 18,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.34 : 30,929.72 = 12,333.02 : x
  2. Step 2: Convert to fraction form
    20,646.34/30,929.72 = 12,333.02/x
  3. Step 3: Cross multiply
    20,646.34x = 30,929.72 × 12,333.02
  4. Step 4: Simplify right side
    20,646.34x = 381,456,639.04
  5. Step 5: Solve for x
    x = 381,456,639.04/20,646.34
  6. Step 6: Final answer
    x = 18,475.75

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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.