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Finding the Fourth Proportional to 13,771.94, 19,005.69 and 7,803.45

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Solution

The fourth proportional to 13,771.94, 19,005.69 and 7,803.45 is: 10,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.94 : 19,005.69 = 7,803.45 : x
  2. Step 2: Convert to fraction form
    13,771.94/19,005.69 = 7,803.45/x
  3. Step 3: Cross multiply
    13,771.94x = 19,005.69 × 7,803.45
  4. Step 4: Simplify right side
    13,771.94x = 148,309,951.63
  5. Step 5: Solve for x
    x = 148,309,951.63/13,771.94
  6. Step 6: Final answer
    x = 10,769.00

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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.