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Finding the Fourth Proportional to 21,621.26, 32,421.09 and 9,924.50

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Solution

The fourth proportional to 21,621.26, 32,421.09 and 9,924.50 is: 14,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621.26 : 32,421.09 = 9,924.50 : x
  2. Step 2: Convert to fraction form
    21,621.26/32,421.09 = 9,924.50/x
  3. Step 3: Cross multiply
    21,621.26x = 32,421.09 × 9,924.50
  4. Step 4: Simplify right side
    21,621.26x = 321,763,107.71
  5. Step 5: Solve for x
    x = 321,763,107.71/21,621.26
  6. Step 6: Final answer
    x = 14,881.79

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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.