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Finding the Fourth Proportional to 25,981.29, 35,853.92 and 14,496.30

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Solution

The fourth proportional to 25,981.29, 35,853.92 and 14,496.30 is: 20,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,981.29 : 35,853.92 = 14,496.30 : x
  2. Step 2: Convert to fraction form
    25,981.29/35,853.92 = 14,496.30/x
  3. Step 3: Cross multiply
    25,981.29x = 35,853.92 × 14,496.30
  4. Step 4: Simplify right side
    25,981.29x = 519,749,108.01
  5. Step 5: Solve for x
    x = 519,749,108.01/25,981.29
  6. Step 6: Final answer
    x = 20,004.75

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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.