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Finding the Fourth Proportional to 21,905.65, 30,243.18 and 14,256.21

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Solution

The fourth proportional to 21,905.65, 30,243.18 and 14,256.21 is: 19,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.65 : 30,243.18 = 14,256.21 : x
  2. Step 2: Convert to fraction form
    21,905.65/30,243.18 = 14,256.21/x
  3. Step 3: Cross multiply
    21,905.65x = 30,243.18 × 14,256.21
  4. Step 4: Simplify right side
    21,905.65x = 431,153,125.15
  5. Step 5: Solve for x
    x = 431,153,125.15/21,905.65
  6. Step 6: Final answer
    x = 19,682.28

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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.