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Finding the Fourth Proportional to 21,728.30, 30,009.72 and 14,642.42

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Solution

The fourth proportional to 21,728.30, 30,009.72 and 14,642.42 is: 20,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.30 : 30,009.72 = 14,642.42 : x
  2. Step 2: Convert to fraction form
    21,728.30/30,009.72 = 14,642.42/x
  3. Step 3: Cross multiply
    21,728.30x = 30,009.72 × 14,642.42
  4. Step 4: Simplify right side
    21,728.30x = 439,414,924.32
  5. Step 5: Solve for x
    x = 439,414,924.32/21,728.30
  6. Step 6: Final answer
    x = 20,223.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.