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Finding the Fourth Proportional to 24,615.09, 36,921.42 and 9,031.50

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Solution

The fourth proportional to 24,615.09, 36,921.42 and 9,031.50 is: 13,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615.09 : 36,921.42 = 9,031.50 : x
  2. Step 2: Convert to fraction form
    24,615.09/36,921.42 = 9,031.50/x
  3. Step 3: Cross multiply
    24,615.09x = 36,921.42 × 9,031.50
  4. Step 4: Simplify right side
    24,615.09x = 333,455,804.73
  5. Step 5: Solve for x
    x = 333,455,804.73/24,615.09
  6. Step 6: Final answer
    x = 13,546.80

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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.