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Finding the Fourth Proportional to 24,709, 37,063.50 and 9,126.64

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Solution

The fourth proportional to 24,709, 37,063.50 and 9,126.64 is: 13,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709 : 37,063.50 = 9,126.64 : x
  2. Step 2: Convert to fraction form
    24,709/37,063.50 = 9,126.64/x
  3. Step 3: Cross multiply
    24,709x = 37,063.50 × 9,126.64
  4. Step 4: Simplify right side
    24,709x = 338,265,221.64
  5. Step 5: Solve for x
    x = 338,265,221.64/24,709
  6. Step 6: Final answer
    x = 13,689.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.