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Finding the Fourth Proportional to 17,408.66, 24,024.43 and 9,451.40

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Solution

The fourth proportional to 17,408.66, 24,024.43 and 9,451.40 is: 13,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.66 : 24,024.43 = 9,451.40 : x
  2. Step 2: Convert to fraction form
    17,408.66/24,024.43 = 9,451.40/x
  3. Step 3: Cross multiply
    17,408.66x = 24,024.43 × 9,451.40
  4. Step 4: Simplify right side
    17,408.66x = 227,064,389.39
  5. Step 5: Solve for x
    x = 227,064,389.39/17,408.66
  6. Step 6: Final answer
    x = 13,043.19

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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.