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Finding the Fourth Proportional to 13,187.34, 19,767.33 and 8,245.63

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Solution

The fourth proportional to 13,187.34, 19,767.33 and 8,245.63 is: 12,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.34 : 19,767.33 = 8,245.63 : x
  2. Step 2: Convert to fraction form
    13,187.34/19,767.33 = 8,245.63/x
  3. Step 3: Cross multiply
    13,187.34x = 19,767.33 × 8,245.63
  4. Step 4: Simplify right side
    13,187.34x = 162,994,060.46
  5. Step 5: Solve for x
    x = 162,994,060.46/13,187.34
  6. Step 6: Final answer
    x = 12,359.89

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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.