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Finding the Fourth Proportional to 13,171.68, 18,144 and 10,527.84

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Solution

The fourth proportional to 13,171.68, 18,144 and 10,527.84 is: 14,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.68 : 18,144 = 10,527.84 : x
  2. Step 2: Convert to fraction form
    13,171.68/18,144 = 10,527.84/x
  3. Step 3: Cross multiply
    13,171.68x = 18,144 × 10,527.84
  4. Step 4: Simplify right side
    13,171.68x = 191,017,128.96
  5. Step 5: Solve for x
    x = 191,017,128.96/13,171.68
  6. Step 6: Final answer
    x = 14,502.11

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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.