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Finding the Fourth Proportional to 25,783.43, 35,577.95 and 15,708.20

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Solution

The fourth proportional to 25,783.43, 35,577.95 and 15,708.20 is: 21,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.43 : 35,577.95 = 15,708.20 : x
  2. Step 2: Convert to fraction form
    25,783.43/35,577.95 = 15,708.20/x
  3. Step 3: Cross multiply
    25,783.43x = 35,577.95 × 15,708.20
  4. Step 4: Simplify right side
    25,783.43x = 558,865,297.76
  5. Step 5: Solve for x
    x = 558,865,297.76/25,783.43
  6. Step 6: Final answer
    x = 21,675.37

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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.