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Finding the Fourth Proportional to 24,537.86, 36,812.26 and 8,955.48

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Solution

The fourth proportional to 24,537.86, 36,812.26 and 8,955.48 is: 13,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.86 : 36,812.26 = 8,955.48 : x
  2. Step 2: Convert to fraction form
    24,537.86/36,812.26 = 8,955.48/x
  3. Step 3: Cross multiply
    24,537.86x = 36,812.26 × 8,955.48
  4. Step 4: Simplify right side
    24,537.86x = 329,671,458.18
  5. Step 5: Solve for x
    x = 329,671,458.18/24,537.86
  6. Step 6: Final answer
    x = 13,435.22

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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.