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Finding the Fourth Proportional to 13,516.64, 18,653.06 and 7,548.38

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Solution

The fourth proportional to 13,516.64, 18,653.06 and 7,548.38 is: 10,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.64 : 18,653.06 = 7,548.38 : x
  2. Step 2: Convert to fraction form
    13,516.64/18,653.06 = 7,548.38/x
  3. Step 3: Cross multiply
    13,516.64x = 18,653.06 × 7,548.38
  4. Step 4: Simplify right side
    13,516.64x = 140,800,385.04
  5. Step 5: Solve for x
    x = 140,800,385.04/13,516.64
  6. Step 6: Final answer
    x = 10,416.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.