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Finding the Fourth Proportional to 21,574.40, 29,781.87 and 14,504.94

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Solution

The fourth proportional to 21,574.40, 29,781.87 and 14,504.94 is: 20,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.40 : 29,781.87 = 14,504.94 : x
  2. Step 2: Convert to fraction form
    21,574.40/29,781.87 = 14,504.94/x
  3. Step 3: Cross multiply
    21,574.40x = 29,781.87 × 14,504.94
  4. Step 4: Simplify right side
    21,574.40x = 431,984,237.44
  5. Step 5: Solve for x
    x = 431,984,237.44/21,574.40
  6. Step 6: Final answer
    x = 20,023.00

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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.