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Finding the Fourth Proportional to 14,103.71, 21,158.04 and 4,744.67

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Solution

The fourth proportional to 14,103.71, 21,158.04 and 4,744.67 is: 7,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.71 : 21,158.04 = 4,744.67 : x
  2. Step 2: Convert to fraction form
    14,103.71/21,158.04 = 4,744.67/x
  3. Step 3: Cross multiply
    14,103.71x = 21,158.04 × 4,744.67
  4. Step 4: Simplify right side
    14,103.71x = 100,387,811.86
  5. Step 5: Solve for x
    x = 100,387,811.86/14,103.71
  6. Step 6: Final answer
    x = 7,117.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.