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Finding the Fourth Proportional to 14,772.87, 22,154.52 and 4,909.50

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Solution

The fourth proportional to 14,772.87, 22,154.52 and 4,909.50 is: 7,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.87 : 22,154.52 = 4,909.50 : x
  2. Step 2: Convert to fraction form
    14,772.87/22,154.52 = 4,909.50/x
  3. Step 3: Cross multiply
    14,772.87x = 22,154.52 × 4,909.50
  4. Step 4: Simplify right side
    14,772.87x = 108,767,615.94
  5. Step 5: Solve for x
    x = 108,767,615.94/14,772.87
  6. Step 6: Final answer
    x = 7,362.66

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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.