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Finding the Fourth Proportional to 25,980.89, 35,854.00 and 14,650.92

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Solution

The fourth proportional to 25,980.89, 35,854.00 and 14,650.92 is: 20,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.89 : 35,854.00 = 14,650.92 : x
  2. Step 2: Convert to fraction form
    25,980.89/35,854.00 = 14,650.92/x
  3. Step 3: Cross multiply
    25,980.89x = 35,854.00 × 14,650.92
  4. Step 4: Simplify right side
    25,980.89x = 525,294,049.05
  5. Step 5: Solve for x
    x = 525,294,049.05/25,980.89
  6. Step 6: Final answer
    x = 20,218.48

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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.