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Finding the Fourth Proportional to 13,711, 18,921.18 and 7,423.42

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Solution

The fourth proportional to 13,711, 18,921.18 and 7,423.42 is: 10,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711 : 18,921.18 = 7,423.42 : x
  2. Step 2: Convert to fraction form
    13,711/18,921.18 = 7,423.42/x
  3. Step 3: Cross multiply
    13,711x = 18,921.18 × 7,423.42
  4. Step 4: Simplify right side
    13,711x = 140,459,866.04
  5. Step 5: Solve for x
    x = 140,459,866.04/13,711
  6. Step 6: Final answer
    x = 10,244.32

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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.