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Finding the Fourth Proportional to 25,781.68, 38,848.14 and 21,204.24

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Solution

The fourth proportional to 25,781.68, 38,848.14 and 21,204.24 is: 31,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.68 : 38,848.14 = 21,204.24 : x
  2. Step 2: Convert to fraction form
    25,781.68/38,848.14 = 21,204.24/x
  3. Step 3: Cross multiply
    25,781.68x = 38,848.14 × 21,204.24
  4. Step 4: Simplify right side
    25,781.68x = 823,745,284.11
  5. Step 5: Solve for x
    x = 823,745,284.11/25,781.68
  6. Step 6: Final answer
    x = 31,950.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.