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Finding the Fourth Proportional to 24,849.01, 34,288 and 14,236.93

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Solution

The fourth proportional to 24,849.01, 34,288 and 14,236.93 is: 19,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,849.01 : 34,288 = 14,236.93 : x
  2. Step 2: Convert to fraction form
    24,849.01/34,288 = 14,236.93/x
  3. Step 3: Cross multiply
    24,849.01x = 34,288 × 14,236.93
  4. Step 4: Simplify right side
    24,849.01x = 488,155,855.84
  5. Step 5: Solve for x
    x = 488,155,855.84/24,849.01
  6. Step 6: Final answer
    x = 19,644.88

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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.