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Finding the Fourth Proportional to 17,406.64, 24,021.30 and 10,234.63

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Solution

The fourth proportional to 17,406.64, 24,021.30 and 10,234.63 is: 14,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.64 : 24,021.30 = 10,234.63 : x
  2. Step 2: Convert to fraction form
    17,406.64/24,021.30 = 10,234.63/x
  3. Step 3: Cross multiply
    17,406.64x = 24,021.30 × 10,234.63
  4. Step 4: Simplify right side
    17,406.64x = 245,849,117.62
  5. Step 5: Solve for x
    x = 245,849,117.62/17,406.64
  6. Step 6: Final answer
    x = 14,123.87

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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.