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Finding the Fourth Proportional to 14,853.26, 20,500.20 and 8,565.63

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Solution

The fourth proportional to 14,853.26, 20,500.20 and 8,565.63 is: 11,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.26 : 20,500.20 = 8,565.63 : x
  2. Step 2: Convert to fraction form
    14,853.26/20,500.20 = 8,565.63/x
  3. Step 3: Cross multiply
    14,853.26x = 20,500.20 × 8,565.63
  4. Step 4: Simplify right side
    14,853.26x = 175,597,128.13
  5. Step 5: Solve for x
    x = 175,597,128.13/14,853.26
  6. Step 6: Final answer
    x = 11,822.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.