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Finding the Fourth Proportional to 13,805.94, 19,053.45 and 8,769.63

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Solution

The fourth proportional to 13,805.94, 19,053.45 and 8,769.63 is: 12,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.94 : 19,053.45 = 8,769.63 : x
  2. Step 2: Convert to fraction form
    13,805.94/19,053.45 = 8,769.63/x
  3. Step 3: Cross multiply
    13,805.94x = 19,053.45 × 8,769.63
  4. Step 4: Simplify right side
    13,805.94x = 167,091,706.72
  5. Step 5: Solve for x
    x = 167,091,706.72/13,805.94
  6. Step 6: Final answer
    x = 12,102.89

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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.