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Finding the Fourth Proportional to 24,534.41, 36,796.55 and 7,890.12

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Solution

The fourth proportional to 24,534.41, 36,796.55 and 7,890.12 is: 11,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.41 : 36,796.55 = 7,890.12 : x
  2. Step 2: Convert to fraction form
    24,534.41/36,796.55 = 7,890.12/x
  3. Step 3: Cross multiply
    24,534.41x = 36,796.55 × 7,890.12
  4. Step 4: Simplify right side
    24,534.41x = 290,329,155.64
  5. Step 5: Solve for x
    x = 290,329,155.64/24,534.41
  6. Step 6: Final answer
    x = 11,833.55

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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.