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Finding the Fourth Proportional to 21,495.24, 32,246.64 and 7,641

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Solution

The fourth proportional to 21,495.24, 32,246.64 and 7,641 is: 11,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,495.24 : 32,246.64 = 7,641 : x
  2. Step 2: Convert to fraction form
    21,495.24/32,246.64 = 7,641/x
  3. Step 3: Cross multiply
    21,495.24x = 32,246.64 × 7,641
  4. Step 4: Simplify right side
    21,495.24x = 246,396,576.24
  5. Step 5: Solve for x
    x = 246,396,576.24/21,495.24
  6. Step 6: Final answer
    x = 11,462.84

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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.