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Finding the Fourth Proportional to 13,534.38, 18,676.98 and 7,565.94

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Solution

The fourth proportional to 13,534.38, 18,676.98 and 7,565.94 is: 10,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.38 : 18,676.98 = 7,565.94 : x
  2. Step 2: Convert to fraction form
    13,534.38/18,676.98 = 7,565.94/x
  3. Step 3: Cross multiply
    13,534.38x = 18,676.98 × 7,565.94
  4. Step 4: Simplify right side
    13,534.38x = 141,308,910.06
  5. Step 5: Solve for x
    x = 141,308,910.06/13,534.38
  6. Step 6: Final answer
    x = 10,440.74

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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.