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Finding the Fourth Proportional to 24,370, 36,555.20 and 7,729.68

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Solution

The fourth proportional to 24,370, 36,555.20 and 7,729.68 is: 11,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370 : 36,555.20 = 7,729.68 : x
  2. Step 2: Convert to fraction form
    24,370/36,555.20 = 7,729.68/x
  3. Step 3: Cross multiply
    24,370x = 36,555.20 × 7,729.68
  4. Step 4: Simplify right side
    24,370x = 282,559,998.34
  5. Step 5: Solve for x
    x = 282,559,998.34/24,370
  6. Step 6: Final answer
    x = 11,594.58

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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.