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Finding the Fourth Proportional to 13,117.34, 19,676.25 and 7,310.86

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Solution

The fourth proportional to 13,117.34, 19,676.25 and 7,310.86 is: 10,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.34 : 19,676.25 = 7,310.86 : x
  2. Step 2: Convert to fraction form
    13,117.34/19,676.25 = 7,310.86/x
  3. Step 3: Cross multiply
    13,117.34x = 19,676.25 × 7,310.86
  4. Step 4: Simplify right side
    13,117.34x = 143,850,259.88
  5. Step 5: Solve for x
    x = 143,850,259.88/13,117.34
  6. Step 6: Final answer
    x = 10,966.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.