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Finding the Fourth Proportional to 12,884.94, 19,329.84 and 8,506.08

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Solution

The fourth proportional to 12,884.94, 19,329.84 and 8,506.08 is: 12,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.94 : 19,329.84 = 8,506.08 : x
  2. Step 2: Convert to fraction form
    12,884.94/19,329.84 = 8,506.08/x
  3. Step 3: Cross multiply
    12,884.94x = 19,329.84 × 8,506.08
  4. Step 4: Simplify right side
    12,884.94x = 164,421,165.43
  5. Step 5: Solve for x
    x = 164,421,165.43/12,884.94
  6. Step 6: Final answer
    x = 12,760.72

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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.