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Finding the Fourth Proportional to 14,357.50, 21,525.90 and 9,665.92

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Solution

The fourth proportional to 14,357.50, 21,525.90 and 9,665.92 is: 14,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.50 : 21,525.90 = 9,665.92 : x
  2. Step 2: Convert to fraction form
    14,357.50/21,525.90 = 9,665.92/x
  3. Step 3: Cross multiply
    14,357.50x = 21,525.90 × 9,665.92
  4. Step 4: Simplify right side
    14,357.50x = 208,067,627.33
  5. Step 5: Solve for x
    x = 208,067,627.33/14,357.50
  6. Step 6: Final answer
    x = 14,491.91

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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.