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Finding the Fourth Proportional to 25,820.63, 35,632.46 and 14,642.63

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Solution

The fourth proportional to 25,820.63, 35,632.46 and 14,642.63 is: 20,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,820.63 : 35,632.46 = 14,642.63 : x
  2. Step 2: Convert to fraction form
    25,820.63/35,632.46 = 14,642.63/x
  3. Step 3: Cross multiply
    25,820.63x = 35,632.46 × 14,642.63
  4. Step 4: Simplify right side
    25,820.63x = 521,752,786.21
  5. Step 5: Solve for x
    x = 521,752,786.21/25,820.63
  6. Step 6: Final answer
    x = 20,206.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.