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Finding the Fourth Proportional to 14,597.70, 21,891.15 and 4,737.30

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Solution

The fourth proportional to 14,597.70, 21,891.15 and 4,737.30 is: 7,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.70 : 21,891.15 = 4,737.30 : x
  2. Step 2: Convert to fraction form
    14,597.70/21,891.15 = 4,737.30/x
  3. Step 3: Cross multiply
    14,597.70x = 21,891.15 × 4,737.30
  4. Step 4: Simplify right side
    14,597.70x = 103,704,944.90
  5. Step 5: Solve for x
    x = 103,704,944.90/14,597.70
  6. Step 6: Final answer
    x = 7,104.20

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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.