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Finding the Fourth Proportional to 18,412.80, 25,410 and 10,029.44

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Solution

The fourth proportional to 18,412.80, 25,410 and 10,029.44 is: 13,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.80 : 25,410 = 10,029.44 : x
  2. Step 2: Convert to fraction form
    18,412.80/25,410 = 10,029.44/x
  3. Step 3: Cross multiply
    18,412.80x = 25,410 × 10,029.44
  4. Step 4: Simplify right side
    18,412.80x = 254,848,070.40
  5. Step 5: Solve for x
    x = 254,848,070.40/18,412.80
  6. Step 6: Final answer
    x = 13,840.81

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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.