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Finding the Fourth Proportional to 25,309.92, 34,928.64 and 14,134.08

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Solution

The fourth proportional to 25,309.92, 34,928.64 and 14,134.08 is: 19,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.92 : 34,928.64 = 14,134.08 : x
  2. Step 2: Convert to fraction form
    25,309.92/34,928.64 = 14,134.08/x
  3. Step 3: Cross multiply
    25,309.92x = 34,928.64 × 14,134.08
  4. Step 4: Simplify right side
    25,309.92x = 493,684,192.05
  5. Step 5: Solve for x
    x = 493,684,192.05/25,309.92
  6. Step 6: Final answer
    x = 19,505.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.