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Finding the Fourth Proportional to 21,458.33, 32,194.21 and 9,622.02

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Solution

The fourth proportional to 21,458.33, 32,194.21 and 9,622.02 is: 14,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.33 : 32,194.21 = 9,622.02 : x
  2. Step 2: Convert to fraction form
    21,458.33/32,194.21 = 9,622.02/x
  3. Step 3: Cross multiply
    21,458.33x = 32,194.21 × 9,622.02
  4. Step 4: Simplify right side
    21,458.33x = 309,773,332.50
  5. Step 5: Solve for x
    x = 309,773,332.50/21,458.33
  6. Step 6: Final answer
    x = 14,436.04

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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.