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Finding the Fourth Proportional to 25,758.32, 35,542.76 and 14,428.31

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Solution

The fourth proportional to 25,758.32, 35,542.76 and 14,428.31 is: 19,908.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.32 : 35,542.76 = 14,428.31 : x
  2. Step 2: Convert to fraction form
    25,758.32/35,542.76 = 14,428.31/x
  3. Step 3: Cross multiply
    25,758.32x = 35,542.76 × 14,428.31
  4. Step 4: Simplify right side
    25,758.32x = 512,821,709.68
  5. Step 5: Solve for x
    x = 512,821,709.68/25,758.32
  6. Step 6: Final answer
    x = 19,908.98

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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.