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Finding the Fourth Proportional to 13,554.24, 18,697.92 and 11,688

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Solution

The fourth proportional to 13,554.24, 18,697.92 and 11,688 is: 16,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.24 : 18,697.92 = 11,688 : x
  2. Step 2: Convert to fraction form
    13,554.24/18,697.92 = 11,688/x
  3. Step 3: Cross multiply
    13,554.24x = 18,697.92 × 11,688
  4. Step 4: Simplify right side
    13,554.24x = 218,541,288.96
  5. Step 5: Solve for x
    x = 218,541,288.96/13,554.24
  6. Step 6: Final answer
    x = 16,123.46

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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.