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Finding the Fourth Proportional to 13,117.98, 19,673.88 and 3,757.86

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Solution

The fourth proportional to 13,117.98, 19,673.88 and 3,757.86 is: 5,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.98 : 19,673.88 = 3,757.86 : x
  2. Step 2: Convert to fraction form
    13,117.98/19,673.88 = 3,757.86/x
  3. Step 3: Cross multiply
    13,117.98x = 19,673.88 × 3,757.86
  4. Step 4: Simplify right side
    13,117.98x = 73,931,686.70
  5. Step 5: Solve for x
    x = 73,931,686.70/13,117.98
  6. Step 6: Final answer
    x = 5,635.90

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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.