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Finding the Fourth Proportional to 24,606.54, 36,914.68 and 9,024.30

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Solution

The fourth proportional to 24,606.54, 36,914.68 and 9,024.30 is: 13,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.54 : 36,914.68 = 9,024.30 : x
  2. Step 2: Convert to fraction form
    24,606.54/36,914.68 = 9,024.30/x
  3. Step 3: Cross multiply
    24,606.54x = 36,914.68 × 9,024.30
  4. Step 4: Simplify right side
    24,606.54x = 333,129,193.89
  5. Step 5: Solve for x
    x = 333,129,193.89/24,606.54
  6. Step 6: Final answer
    x = 13,538.24

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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.