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Finding the Fourth Proportional to 17,714.65, 24,445.10 and 9,756.88

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Solution

The fourth proportional to 17,714.65, 24,445.10 and 9,756.88 is: 13,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.65 : 24,445.10 = 9,756.88 : x
  2. Step 2: Convert to fraction form
    17,714.65/24,445.10 = 9,756.88/x
  3. Step 3: Cross multiply
    17,714.65x = 24,445.10 × 9,756.88
  4. Step 4: Simplify right side
    17,714.65x = 238,507,736.28
  5. Step 5: Solve for x
    x = 238,507,736.28/17,714.65
  6. Step 6: Final answer
    x = 13,463.87

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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.