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Finding the Fourth Proportional to 14,797.72, 20,418.90 and 8,830.12

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Solution

The fourth proportional to 14,797.72, 20,418.90 and 8,830.12 is: 12,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.72 : 20,418.90 = 8,830.12 : x
  2. Step 2: Convert to fraction form
    14,797.72/20,418.90 = 8,830.12/x
  3. Step 3: Cross multiply
    14,797.72x = 20,418.90 × 8,830.12
  4. Step 4: Simplify right side
    14,797.72x = 180,301,337.27
  5. Step 5: Solve for x
    x = 180,301,337.27/14,797.72
  6. Step 6: Final answer
    x = 12,184.40

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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.