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Finding the Fourth Proportional to 25,713.84, 35,485.16 and 14,383.52

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Solution

The fourth proportional to 25,713.84, 35,485.16 and 14,383.52 is: 19,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.84 : 35,485.16 = 14,383.52 : x
  2. Step 2: Convert to fraction form
    25,713.84/35,485.16 = 14,383.52/x
  3. Step 3: Cross multiply
    25,713.84x = 35,485.16 × 14,383.52
  4. Step 4: Simplify right side
    25,713.84x = 510,401,508.56
  5. Step 5: Solve for x
    x = 510,401,508.56/25,713.84
  6. Step 6: Final answer
    x = 19,849.29

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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.