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Finding the Fourth Proportional to 17,700, 24,425.70 and 9,742.07

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Solution

The fourth proportional to 17,700, 24,425.70 and 9,742.07 is: 13,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700 : 24,425.70 = 9,742.07 : x
  2. Step 2: Convert to fraction form
    17,700/24,425.70 = 9,742.07/x
  3. Step 3: Cross multiply
    17,700x = 24,425.70 × 9,742.07
  4. Step 4: Simplify right side
    17,700x = 237,956,757.07
  5. Step 5: Solve for x
    x = 237,956,757.07/17,700
  6. Step 6: Final answer
    x = 13,443.88

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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.