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Finding the Fourth Proportional to 25,510.86, 35,204.96 and 14,180.00

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Solution

The fourth proportional to 25,510.86, 35,204.96 and 14,180.00 is: 19,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,510.86 : 35,204.96 = 14,180.00 : x
  2. Step 2: Convert to fraction form
    25,510.86/35,204.96 = 14,180.00/x
  3. Step 3: Cross multiply
    25,510.86x = 35,204.96 × 14,180.00
  4. Step 4: Simplify right side
    25,510.86x = 499,206,085.88
  5. Step 5: Solve for x
    x = 499,206,085.88/25,510.86
  6. Step 6: Final answer
    x = 19,568.38

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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.