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Finding the Fourth Proportional to 25,971.82, 35,860.31 and 15,914

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Solution

The fourth proportional to 25,971.82, 35,860.31 and 15,914 is: 21,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.82 : 35,860.31 = 15,914 : x
  2. Step 2: Convert to fraction form
    25,971.82/35,860.31 = 15,914/x
  3. Step 3: Cross multiply
    25,971.82x = 35,860.31 × 15,914
  4. Step 4: Simplify right side
    25,971.82x = 570,680,973.34
  5. Step 5: Solve for x
    x = 570,680,973.34/25,971.82
  6. Step 6: Final answer
    x = 21,973.08

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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.