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Finding the Fourth Proportional to 14,596.50, 21,898.20 and 4,735.76

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Solution

The fourth proportional to 14,596.50, 21,898.20 and 4,735.76 is: 7,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.50 : 21,898.20 = 4,735.76 : x
  2. Step 2: Convert to fraction form
    14,596.50/21,898.20 = 4,735.76/x
  3. Step 3: Cross multiply
    14,596.50x = 21,898.20 × 4,735.76
  4. Step 4: Simplify right side
    14,596.50x = 103,704,510.14
  5. Step 5: Solve for x
    x = 103,704,510.14/14,596.50
  6. Step 6: Final answer
    x = 7,104.75

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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.