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Finding the Fourth Proportional to 17,408.64, 24,026.88 and 10,338.88

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Solution

The fourth proportional to 17,408.64, 24,026.88 and 10,338.88 is: 14,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.64 : 24,026.88 = 10,338.88 : x
  2. Step 2: Convert to fraction form
    17,408.64/24,026.88 = 10,338.88/x
  3. Step 3: Cross multiply
    17,408.64x = 24,026.88 × 10,338.88
  4. Step 4: Simplify right side
    17,408.64x = 248,411,029.09
  5. Step 5: Solve for x
    x = 248,411,029.09/17,408.64
  6. Step 6: Final answer
    x = 14,269.41

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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.