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Finding the Fourth Proportional to 13,762.33, 18,989.23 and 8,381.16

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Solution

The fourth proportional to 13,762.33, 18,989.23 and 8,381.16 is: 11,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.33 : 18,989.23 = 8,381.16 : x
  2. Step 2: Convert to fraction form
    13,762.33/18,989.23 = 8,381.16/x
  3. Step 3: Cross multiply
    13,762.33x = 18,989.23 × 8,381.16
  4. Step 4: Simplify right side
    13,762.33x = 159,151,774.91
  5. Step 5: Solve for x
    x = 159,151,774.91/13,762.33
  6. Step 6: Final answer
    x = 11,564.30

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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.