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Finding the Fourth Proportional to 13,644.64, 18,838.74 and 10,300.96

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Solution

The fourth proportional to 13,644.64, 18,838.74 and 10,300.96 is: 14,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.64 : 18,838.74 = 10,300.96 : x
  2. Step 2: Convert to fraction form
    13,644.64/18,838.74 = 10,300.96/x
  3. Step 3: Cross multiply
    13,644.64x = 18,838.74 × 10,300.96
  4. Step 4: Simplify right side
    13,644.64x = 194,057,107.19
  5. Step 5: Solve for x
    x = 194,057,107.19/13,644.64
  6. Step 6: Final answer
    x = 14,222.22

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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.