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Finding the Fourth Proportional to 13,527.34, 18,673.47 and 8,223.85

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Solution

The fourth proportional to 13,527.34, 18,673.47 and 8,223.85 is: 11,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.34 : 18,673.47 = 8,223.85 : x
  2. Step 2: Convert to fraction form
    13,527.34/18,673.47 = 8,223.85/x
  3. Step 3: Cross multiply
    13,527.34x = 18,673.47 × 8,223.85
  4. Step 4: Simplify right side
    13,527.34x = 153,567,800.42
  5. Step 5: Solve for x
    x = 153,567,800.42/13,527.34
  6. Step 6: Final answer
    x = 11,352.40

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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.