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Finding the Fourth Proportional to 14,338.58, 21,501.78 and 7,763

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Solution

The fourth proportional to 14,338.58, 21,501.78 and 7,763 is: 11,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.58 : 21,501.78 = 7,763 : x
  2. Step 2: Convert to fraction form
    14,338.58/21,501.78 = 7,763/x
  3. Step 3: Cross multiply
    14,338.58x = 21,501.78 × 7,763
  4. Step 4: Simplify right side
    14,338.58x = 166,918,318.14
  5. Step 5: Solve for x
    x = 166,918,318.14/14,338.58
  6. Step 6: Final answer
    x = 11,641.20

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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.