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Finding the Fourth Proportional to 13,502.34, 18,632.80 and 7,369.81

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Solution

The fourth proportional to 13,502.34, 18,632.80 and 7,369.81 is: 10,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.34 : 18,632.80 = 7,369.81 : x
  2. Step 2: Convert to fraction form
    13,502.34/18,632.80 = 7,369.81/x
  3. Step 3: Cross multiply
    13,502.34x = 18,632.80 × 7,369.81
  4. Step 4: Simplify right side
    13,502.34x = 137,320,195.77
  5. Step 5: Solve for x
    x = 137,320,195.77/13,502.34
  6. Step 6: Final answer
    x = 10,170.10

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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.