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Finding the Fourth Proportional to 24,602.75, 36,904.26 and 6,134.75

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Solution

The fourth proportional to 24,602.75, 36,904.26 and 6,134.75 is: 9,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,602.75 : 36,904.26 = 6,134.75 : x
  2. Step 2: Convert to fraction form
    24,602.75/36,904.26 = 6,134.75/x
  3. Step 3: Cross multiply
    24,602.75x = 36,904.26 × 6,134.75
  4. Step 4: Simplify right side
    24,602.75x = 226,398,409.04
  5. Step 5: Solve for x
    x = 226,398,409.04/24,602.75
  6. Step 6: Final answer
    x = 9,202.16

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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.