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Finding the Fourth Proportional to 13,767.42, 18,992.84 and 8,460.30

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Solution

The fourth proportional to 13,767.42, 18,992.84 and 8,460.30 is: 11,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.42 : 18,992.84 = 8,460.30 : x
  2. Step 2: Convert to fraction form
    13,767.42/18,992.84 = 8,460.30/x
  3. Step 3: Cross multiply
    13,767.42x = 18,992.84 × 8,460.30
  4. Step 4: Simplify right side
    13,767.42x = 160,685,124.25
  5. Step 5: Solve for x
    x = 160,685,124.25/13,767.42
  6. Step 6: Final answer
    x = 11,671.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.