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Finding the Fourth Proportional to 21,548.56, 32,295.46 and 9,689.68

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Solution

The fourth proportional to 21,548.56, 32,295.46 and 9,689.68 is: 14,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.56 : 32,295.46 = 9,689.68 : x
  2. Step 2: Convert to fraction form
    21,548.56/32,295.46 = 9,689.68/x
  3. Step 3: Cross multiply
    21,548.56x = 32,295.46 × 9,689.68
  4. Step 4: Simplify right side
    21,548.56x = 312,932,525.50
  5. Step 5: Solve for x
    x = 312,932,525.50/21,548.56
  6. Step 6: Final answer
    x = 14,522.20

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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.