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Finding the Fourth Proportional to 13,423, 20,117.10 and 5,516.56

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Solution

The fourth proportional to 13,423, 20,117.10 and 5,516.56 is: 8,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423 : 20,117.10 = 5,516.56 : x
  2. Step 2: Convert to fraction form
    13,423/20,117.10 = 5,516.56/x
  3. Step 3: Cross multiply
    13,423x = 20,117.10 × 5,516.56
  4. Step 4: Simplify right side
    13,423x = 110,977,189.18
  5. Step 5: Solve for x
    x = 110,977,189.18/13,423
  6. Step 6: Final answer
    x = 8,267.69

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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.