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Finding the Fourth Proportional to 21,889.16, 32,828.94 and 6,303.40

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Solution

The fourth proportional to 21,889.16, 32,828.94 and 6,303.40 is: 9,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889.16 : 32,828.94 = 6,303.40 : x
  2. Step 2: Convert to fraction form
    21,889.16/32,828.94 = 6,303.40/x
  3. Step 3: Cross multiply
    21,889.16x = 32,828.94 × 6,303.40
  4. Step 4: Simplify right side
    21,889.16x = 206,933,940.40
  5. Step 5: Solve for x
    x = 206,933,940.40/21,889.16
  6. Step 6: Final answer
    x = 9,453.72

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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.