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Finding the Fourth Proportional to 21,641.03, 32,461.64 and 6,850.02

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Solution

The fourth proportional to 21,641.03, 32,461.64 and 6,850.02 is: 10,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.03 : 32,461.64 = 6,850.02 : x
  2. Step 2: Convert to fraction form
    21,641.03/32,461.64 = 6,850.02/x
  3. Step 3: Cross multiply
    21,641.03x = 32,461.64 × 6,850.02
  4. Step 4: Simplify right side
    21,641.03x = 222,362,883.23
  5. Step 5: Solve for x
    x = 222,362,883.23/21,641.03
  6. Step 6: Final answer
    x = 10,275.06

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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.