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Finding the Fourth Proportional to 14,874.54, 20,527.81 and 9,829.91

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Solution

The fourth proportional to 14,874.54, 20,527.81 and 9,829.91 is: 13,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.54 : 20,527.81 = 9,829.91 : x
  2. Step 2: Convert to fraction form
    14,874.54/20,527.81 = 9,829.91/x
  3. Step 3: Cross multiply
    14,874.54x = 20,527.81 × 9,829.91
  4. Step 4: Simplify right side
    14,874.54x = 201,786,524.80
  5. Step 5: Solve for x
    x = 201,786,524.80/14,874.54
  6. Step 6: Final answer
    x = 13,565.90

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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.