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Finding the Fourth Proportional to 25,710, 35,478.30 and 14,224.23

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Solution

The fourth proportional to 25,710, 35,478.30 and 14,224.23 is: 19,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710 : 35,478.30 = 14,224.23 : x
  2. Step 2: Convert to fraction form
    25,710/35,478.30 = 14,224.23/x
  3. Step 3: Cross multiply
    25,710x = 35,478.30 × 14,224.23
  4. Step 4: Simplify right side
    25,710x = 504,651,499.21
  5. Step 5: Solve for x
    x = 504,651,499.21/25,710
  6. Step 6: Final answer
    x = 19,628.61

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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.