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Finding the Fourth Proportional to 24,820.75, 34,252.65 and 13,642.99

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Solution

The fourth proportional to 24,820.75, 34,252.65 and 13,642.99 is: 18,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.75 : 34,252.65 = 13,642.99 : x
  2. Step 2: Convert to fraction form
    24,820.75/34,252.65 = 13,642.99/x
  3. Step 3: Cross multiply
    24,820.75x = 34,252.65 × 13,642.99
  4. Step 4: Simplify right side
    24,820.75x = 467,308,561.42
  5. Step 5: Solve for x
    x = 467,308,561.42/24,820.75
  6. Step 6: Final answer
    x = 18,827.33

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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.