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Finding the Fourth Proportional to 17,763.32, 24,505.26 and 10,307

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Solution

The fourth proportional to 17,763.32, 24,505.26 and 10,307 is: 14,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.32 : 24,505.26 = 10,307 : x
  2. Step 2: Convert to fraction form
    17,763.32/24,505.26 = 10,307/x
  3. Step 3: Cross multiply
    17,763.32x = 24,505.26 × 10,307
  4. Step 4: Simplify right side
    17,763.32x = 252,575,714.82
  5. Step 5: Solve for x
    x = 252,575,714.82/17,763.32
  6. Step 6: Final answer
    x = 14,218.95

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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.