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Finding the Fourth Proportional to 14,672.50, 22,011.99 and 5,438.50

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Solution

The fourth proportional to 14,672.50, 22,011.99 and 5,438.50 is: 8,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672.50 : 22,011.99 = 5,438.50 : x
  2. Step 2: Convert to fraction form
    14,672.50/22,011.99 = 5,438.50/x
  3. Step 3: Cross multiply
    14,672.50x = 22,011.99 × 5,438.50
  4. Step 4: Simplify right side
    14,672.50x = 119,712,207.62
  5. Step 5: Solve for x
    x = 119,712,207.62/14,672.50
  6. Step 6: Final answer
    x = 8,158.95

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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.