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Finding the Fourth Proportional to 12,892.02, 17,780.85 and 8,641.62

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Solution

The fourth proportional to 12,892.02, 17,780.85 and 8,641.62 is: 11,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.02 : 17,780.85 = 8,641.62 : x
  2. Step 2: Convert to fraction form
    12,892.02/17,780.85 = 8,641.62/x
  3. Step 3: Cross multiply
    12,892.02x = 17,780.85 × 8,641.62
  4. Step 4: Simplify right side
    12,892.02x = 153,655,348.98
  5. Step 5: Solve for x
    x = 153,655,348.98/12,892.02
  6. Step 6: Final answer
    x = 11,918.64

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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.