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Finding the Fourth Proportional to 25,496.36, 38,212.08 and 14,409.23

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Solution

The fourth proportional to 25,496.36, 38,212.08 and 14,409.23 is: 21,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.36 : 38,212.08 = 14,409.23 : x
  2. Step 2: Convert to fraction form
    25,496.36/38,212.08 = 14,409.23/x
  3. Step 3: Cross multiply
    25,496.36x = 38,212.08 × 14,409.23
  4. Step 4: Simplify right side
    25,496.36x = 550,606,458.44
  5. Step 5: Solve for x
    x = 550,606,458.44/25,496.36
  6. Step 6: Final answer
    x = 21,595.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.