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Finding the Fourth Proportional to 13,395.84, 18,485.76 and 7,805.76

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Solution

The fourth proportional to 13,395.84, 18,485.76 and 7,805.76 is: 10,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,395.84 : 18,485.76 = 7,805.76 : x
  2. Step 2: Convert to fraction form
    13,395.84/18,485.76 = 7,805.76/x
  3. Step 3: Cross multiply
    13,395.84x = 18,485.76 × 7,805.76
  4. Step 4: Simplify right side
    13,395.84x = 144,295,405.98
  5. Step 5: Solve for x
    x = 144,295,405.98/13,395.84
  6. Step 6: Final answer
    x = 10,771.66

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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.