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Finding the Fourth Proportional to 25,502, 35,196.06 and 14,324

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Solution

The fourth proportional to 25,502, 35,196.06 and 14,324 is: 19,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,502 : 35,196.06 = 14,324 : x
  2. Step 2: Convert to fraction form
    25,502/35,196.06 = 14,324/x
  3. Step 3: Cross multiply
    25,502x = 35,196.06 × 14,324
  4. Step 4: Simplify right side
    25,502x = 504,148,363.44
  5. Step 5: Solve for x
    x = 504,148,363.44/25,502
  6. Step 6: Final answer
    x = 19,768.97

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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.