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Finding the Fourth Proportional to 14,737, 20,337.08 and 8,113

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Solution

The fourth proportional to 14,737, 20,337.08 and 8,113 is: 11,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737 : 20,337.08 = 8,113 : x
  2. Step 2: Convert to fraction form
    14,737/20,337.08 = 8,113/x
  3. Step 3: Cross multiply
    14,737x = 20,337.08 × 8,113
  4. Step 4: Simplify right side
    14,737x = 164,994,730.04
  5. Step 5: Solve for x
    x = 164,994,730.04/14,737
  6. Step 6: Final answer
    x = 11,195.95

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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.