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Finding the Fourth Proportional to 25,501, 35,193.06 and 14,323

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Solution

The fourth proportional to 25,501, 35,193.06 and 14,323 is: 19,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,501 : 35,193.06 = 14,323 : x
  2. Step 2: Convert to fraction form
    25,501/35,193.06 = 14,323/x
  3. Step 3: Cross multiply
    25,501x = 35,193.06 × 14,323
  4. Step 4: Simplify right side
    25,501x = 504,070,198.38
  5. Step 5: Solve for x
    x = 504,070,198.38/25,501
  6. Step 6: Final answer
    x = 19,766.68

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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.