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Finding the Fourth Proportional to 13,358.56, 18,423.12 and 8,638.24

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Solution

The fourth proportional to 13,358.56, 18,423.12 and 8,638.24 is: 11,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358.56 : 18,423.12 = 8,638.24 : x
  2. Step 2: Convert to fraction form
    13,358.56/18,423.12 = 8,638.24/x
  3. Step 3: Cross multiply
    13,358.56x = 18,423.12 × 8,638.24
  4. Step 4: Simplify right side
    13,358.56x = 159,143,332.11
  5. Step 5: Solve for x
    x = 159,143,332.11/13,358.56
  6. Step 6: Final answer
    x = 11,913.21

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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.