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Finding the Fourth Proportional to 17,676.87, 24,393.47 and 9,719.06

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Solution

The fourth proportional to 17,676.87, 24,393.47 and 9,719.06 is: 13,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.87 : 24,393.47 = 9,719.06 : x
  2. Step 2: Convert to fraction form
    17,676.87/24,393.47 = 9,719.06/x
  3. Step 3: Cross multiply
    17,676.87x = 24,393.47 × 9,719.06
  4. Step 4: Simplify right side
    17,676.87x = 237,081,427.98
  5. Step 5: Solve for x
    x = 237,081,427.98/17,676.87
  6. Step 6: Final answer
    x = 13,411.96

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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.