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Finding the Fourth Proportional to 25,534, 35,236.92 and 14,356

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Solution

The fourth proportional to 25,534, 35,236.92 and 14,356 is: 19,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534 : 35,236.92 = 14,356 : x
  2. Step 2: Convert to fraction form
    25,534/35,236.92 = 14,356/x
  3. Step 3: Cross multiply
    25,534x = 35,236.92 × 14,356
  4. Step 4: Simplify right side
    25,534x = 505,861,223.52
  5. Step 5: Solve for x
    x = 505,861,223.52/25,534
  6. Step 6: Final answer
    x = 19,811.28

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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.