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Finding the Fourth Proportional to 21,149.84, 31,773.36 and 14,924.16

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Solution

The fourth proportional to 21,149.84, 31,773.36 and 14,924.16 is: 22,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.84 : 31,773.36 = 14,924.16 : x
  2. Step 2: Convert to fraction form
    21,149.84/31,773.36 = 14,924.16/x
  3. Step 3: Cross multiply
    21,149.84x = 31,773.36 × 14,924.16
  4. Step 4: Simplify right side
    21,149.84x = 474,190,708.38
  5. Step 5: Solve for x
    x = 474,190,708.38/21,149.84
  6. Step 6: Final answer
    x = 22,420.53

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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.