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Finding the Fourth Proportional to 13,527.89, 18,673.70 and 12,109.07

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Solution

The fourth proportional to 13,527.89, 18,673.70 and 12,109.07 is: 16,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.89 : 18,673.70 = 12,109.07 : x
  2. Step 2: Convert to fraction form
    13,527.89/18,673.70 = 12,109.07/x
  3. Step 3: Cross multiply
    13,527.89x = 18,673.70 × 12,109.07
  4. Step 4: Simplify right side
    13,527.89x = 226,121,140.46
  5. Step 5: Solve for x
    x = 226,121,140.46/13,527.89
  6. Step 6: Final answer
    x = 16,715.18

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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.