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Finding the Fourth Proportional to 25,754.83, 35,542.45 and 14,424.30

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Solution

The fourth proportional to 25,754.83, 35,542.45 and 14,424.30 is: 19,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.83 : 35,542.45 = 14,424.30 : x
  2. Step 2: Convert to fraction form
    25,754.83/35,542.45 = 14,424.30/x
  3. Step 3: Cross multiply
    25,754.83x = 35,542.45 × 14,424.30
  4. Step 4: Simplify right side
    25,754.83x = 512,674,979.57
  5. Step 5: Solve for x
    x = 512,674,979.57/25,754.83
  6. Step 6: Final answer
    x = 19,905.98

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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.