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Finding the Fourth Proportional to 21,623.64, 32,445.54 and 21,274.20

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Solution

The fourth proportional to 21,623.64, 32,445.54 and 21,274.20 is: 31,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,623.64 : 32,445.54 = 21,274.20 : x
  2. Step 2: Convert to fraction form
    21,623.64/32,445.54 = 21,274.20/x
  3. Step 3: Cross multiply
    21,623.64x = 32,445.54 × 21,274.20
  4. Step 4: Simplify right side
    21,623.64x = 690,252,907.07
  5. Step 5: Solve for x
    x = 690,252,907.07/21,623.64
  6. Step 6: Final answer
    x = 31,921.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.