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Finding the Fourth Proportional to 17,659.20, 24,369.70 and 9,701.93

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Solution

The fourth proportional to 17,659.20, 24,369.70 and 9,701.93 is: 13,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.20 : 24,369.70 = 9,701.93 : x
  2. Step 2: Convert to fraction form
    17,659.20/24,369.70 = 9,701.93/x
  3. Step 3: Cross multiply
    17,659.20x = 24,369.70 × 9,701.93
  4. Step 4: Simplify right side
    17,659.20x = 236,433,178.38
  5. Step 5: Solve for x
    x = 236,433,178.38/17,659.20
  6. Step 6: Final answer
    x = 13,388.67

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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.