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Finding the Fourth Proportional to 25,885.84, 35,713.87 and 21,097.55

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Solution

The fourth proportional to 25,885.84, 35,713.87 and 21,097.55 is: 29,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.84 : 35,713.87 = 21,097.55 : x
  2. Step 2: Convert to fraction form
    25,885.84/35,713.87 = 21,097.55/x
  3. Step 3: Cross multiply
    25,885.84x = 35,713.87 × 21,097.55
  4. Step 4: Simplify right side
    25,885.84x = 753,475,158.02
  5. Step 5: Solve for x
    x = 753,475,158.02/25,885.84
  6. Step 6: Final answer
    x = 29,107.62

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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.