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Finding the Fourth Proportional to 12,884.99, 17,781.72 and 12,294.50

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Solution

The fourth proportional to 12,884.99, 17,781.72 and 12,294.50 is: 16,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.99 : 17,781.72 = 12,294.50 : x
  2. Step 2: Convert to fraction form
    12,884.99/17,781.72 = 12,294.50/x
  3. Step 3: Cross multiply
    12,884.99x = 17,781.72 × 12,294.50
  4. Step 4: Simplify right side
    12,884.99x = 218,617,267.63
  5. Step 5: Solve for x
    x = 218,617,267.63/12,884.99
  6. Step 6: Final answer
    x = 16,966.82

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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.