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Finding the Fourth Proportional to 25,650, 35,397 and 14,472

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Solution

The fourth proportional to 25,650, 35,397 and 14,472 is: 19,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650 : 35,397 = 14,472 : x
  2. Step 2: Convert to fraction form
    25,650/35,397 = 14,472/x
  3. Step 3: Cross multiply
    25,650x = 35,397 × 14,472
  4. Step 4: Simplify right side
    25,650x = 512,265,384
  5. Step 5: Solve for x
    x = 512,265,384/25,650
  6. Step 6: Final answer
    x = 19,971.36

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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.