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Finding the Fourth Proportional to 18,830.98, 25,986.77 and 10,447.48

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Solution

The fourth proportional to 18,830.98, 25,986.77 and 10,447.48 is: 14,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830.98 : 25,986.77 = 10,447.48 : x
  2. Step 2: Convert to fraction form
    18,830.98/25,986.77 = 10,447.48/x
  3. Step 3: Cross multiply
    18,830.98x = 25,986.77 × 10,447.48
  4. Step 4: Simplify right side
    18,830.98x = 271,496,259.84
  5. Step 5: Solve for x
    x = 271,496,259.84/18,830.98
  6. Step 6: Final answer
    x = 14,417.53

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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.