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Finding the Fourth Proportional to 25,632, 35,372.70 and 14,454

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Solution

The fourth proportional to 25,632, 35,372.70 and 14,454 is: 19,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632 : 35,372.70 = 14,454 : x
  2. Step 2: Convert to fraction form
    25,632/35,372.70 = 14,454/x
  3. Step 3: Cross multiply
    25,632x = 35,372.70 × 14,454
  4. Step 4: Simplify right side
    25,632x = 511,277,005.80
  5. Step 5: Solve for x
    x = 511,277,005.80/25,632
  6. Step 6: Final answer
    x = 19,946.82

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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.