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Finding the Fourth Proportional to 25,784.82, 35,583.01 and 15,713.30

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Solution

The fourth proportional to 25,784.82, 35,583.01 and 15,713.30 is: 21,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.82 : 35,583.01 = 15,713.30 : x
  2. Step 2: Convert to fraction form
    25,784.82/35,583.01 = 15,713.30/x
  3. Step 3: Cross multiply
    25,784.82x = 35,583.01 × 15,713.30
  4. Step 4: Simplify right side
    25,784.82x = 559,126,511.03
  5. Step 5: Solve for x
    x = 559,126,511.03/25,784.82
  6. Step 6: Final answer
    x = 21,684.33

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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.