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Finding the Fourth Proportional to 13,534.16, 18,676.38 and 7,564.64

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Solution

The fourth proportional to 13,534.16, 18,676.38 and 7,564.64 is: 10,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.16 : 18,676.38 = 7,564.64 : x
  2. Step 2: Convert to fraction form
    13,534.16/18,676.38 = 7,564.64/x
  3. Step 3: Cross multiply
    13,534.16x = 18,676.38 × 7,564.64
  4. Step 4: Simplify right side
    13,534.16x = 141,280,091.20
  5. Step 5: Solve for x
    x = 141,280,091.20/13,534.16
  6. Step 6: Final answer
    x = 10,438.78

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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.