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Finding the Fourth Proportional to 13,516.89, 18,653.09 and 7,548.63

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Solution

The fourth proportional to 13,516.89, 18,653.09 and 7,548.63 is: 10,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.89 : 18,653.09 = 7,548.63 : x
  2. Step 2: Convert to fraction form
    13,516.89/18,653.09 = 7,548.63/x
  3. Step 3: Cross multiply
    13,516.89x = 18,653.09 × 7,548.63
  4. Step 4: Simplify right side
    13,516.89x = 140,805,237.02
  5. Step 5: Solve for x
    x = 140,805,237.02/13,516.89
  6. Step 6: Final answer
    x = 10,416.98

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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.