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Finding the Fourth Proportional to 24,537.29, 36,808.16 and 7,893.20

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Solution

The fourth proportional to 24,537.29, 36,808.16 and 7,893.20 is: 11,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.29 : 36,808.16 = 7,893.20 : x
  2. Step 2: Convert to fraction form
    24,537.29/36,808.16 = 7,893.20/x
  3. Step 3: Cross multiply
    24,537.29x = 36,808.16 × 7,893.20
  4. Step 4: Simplify right side
    24,537.29x = 290,533,945.01
  5. Step 5: Solve for x
    x = 290,533,945.01/24,537.29
  6. Step 6: Final answer
    x = 11,840.51

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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.