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Finding the Fourth Proportional to 14,212.22, 21,325.53 and 9,585.50

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Solution

The fourth proportional to 14,212.22, 21,325.53 and 9,585.50 is: 14,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.22 : 21,325.53 = 9,585.50 : x
  2. Step 2: Convert to fraction form
    14,212.22/21,325.53 = 9,585.50/x
  3. Step 3: Cross multiply
    14,212.22x = 21,325.53 × 9,585.50
  4. Step 4: Simplify right side
    14,212.22x = 204,415,867.82
  5. Step 5: Solve for x
    x = 204,415,867.82/14,212.22
  6. Step 6: Final answer
    x = 14,383.11

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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.