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Finding the Fourth Proportional to 25,978.46, 35,848.14 and 14,650.74

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Solution

The fourth proportional to 25,978.46, 35,848.14 and 14,650.74 is: 20,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.46 : 35,848.14 = 14,650.74 : x
  2. Step 2: Convert to fraction form
    25,978.46/35,848.14 = 14,650.74/x
  3. Step 3: Cross multiply
    25,978.46x = 35,848.14 × 14,650.74
  4. Step 4: Simplify right side
    25,978.46x = 525,201,723.68
  5. Step 5: Solve for x
    x = 525,201,723.68/25,978.46
  6. Step 6: Final answer
    x = 20,216.82

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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.