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Finding the Fourth Proportional to 13,896.53, 19,164.25 and 12,864.45

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Solution

The fourth proportional to 13,896.53, 19,164.25 and 12,864.45 is: 17,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.53 : 19,164.25 = 12,864.45 : x
  2. Step 2: Convert to fraction form
    13,896.53/19,164.25 = 12,864.45/x
  3. Step 3: Cross multiply
    13,896.53x = 19,164.25 × 12,864.45
  4. Step 4: Simplify right side
    13,896.53x = 246,537,503.75
  5. Step 5: Solve for x
    x = 246,537,503.75/13,896.53
  6. Step 6: Final answer
    x = 17,740.95

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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.