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Finding the Fourth Proportional to 25,762.59, 35,539.83 and 16,214.31

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Solution

The fourth proportional to 25,762.59, 35,539.83 and 16,214.31 is: 22,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.59 : 35,539.83 = 16,214.31 : x
  2. Step 2: Convert to fraction form
    25,762.59/35,539.83 = 16,214.31/x
  3. Step 3: Cross multiply
    25,762.59x = 35,539.83 × 16,214.31
  4. Step 4: Simplify right side
    25,762.59x = 576,253,820.97
  5. Step 5: Solve for x
    x = 576,253,820.97/25,762.59
  6. Step 6: Final answer
    x = 22,367.85

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1.5x scale

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.