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Finding the Fourth Proportional to 13,117.10, 19,675.65 and 8,105.90

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Solution

The fourth proportional to 13,117.10, 19,675.65 and 8,105.90 is: 12,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.10 : 19,675.65 = 8,105.90 : x
  2. Step 2: Convert to fraction form
    13,117.10/19,675.65 = 8,105.90/x
  3. Step 3: Cross multiply
    13,117.10x = 19,675.65 × 8,105.90
  4. Step 4: Simplify right side
    13,117.10x = 159,488,851.34
  5. Step 5: Solve for x
    x = 159,488,851.34/13,117.10
  6. Step 6: Final answer
    x = 12,158.85

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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.