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Finding the Fourth Proportional to 24,109.46, 36,168.09 and 7,465.58

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Solution

The fourth proportional to 24,109.46, 36,168.09 and 7,465.58 is: 11,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.46 : 36,168.09 = 7,465.58 : x
  2. Step 2: Convert to fraction form
    24,109.46/36,168.09 = 7,465.58/x
  3. Step 3: Cross multiply
    24,109.46x = 36,168.09 × 7,465.58
  4. Step 4: Simplify right side
    24,109.46x = 270,015,769.34
  5. Step 5: Solve for x
    x = 270,015,769.34/24,109.46
  6. Step 6: Final answer
    x = 11,199.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.