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Finding the Fourth Proportional to 25,542, 35,249.58 and 14,364

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Solution

The fourth proportional to 25,542, 35,249.58 and 14,364 is: 19,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542 : 35,249.58 = 14,364 : x
  2. Step 2: Convert to fraction form
    25,542/35,249.58 = 14,364/x
  3. Step 3: Cross multiply
    25,542x = 35,249.58 × 14,364
  4. Step 4: Simplify right side
    25,542x = 506,324,967.12
  5. Step 5: Solve for x
    x = 506,324,967.12/25,542
  6. Step 6: Final answer
    x = 19,823.23

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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.