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Finding the Fourth Proportional to 17,676.92, 24,393.60 and 9,718.40

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Solution

The fourth proportional to 17,676.92, 24,393.60 and 9,718.40 is: 13,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.92 : 24,393.60 = 9,718.40 : x
  2. Step 2: Convert to fraction form
    17,676.92/24,393.60 = 9,718.40/x
  3. Step 3: Cross multiply
    17,676.92x = 24,393.60 × 9,718.40
  4. Step 4: Simplify right side
    17,676.92x = 237,066,762.24
  5. Step 5: Solve for x
    x = 237,066,762.24/17,676.92
  6. Step 6: Final answer
    x = 13,411.09

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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.