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Finding the Fourth Proportional to 24,181.74, 36,281.93 and 9,401.06

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Solution

The fourth proportional to 24,181.74, 36,281.93 and 9,401.06 is: 14,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.74 : 36,281.93 = 9,401.06 : x
  2. Step 2: Convert to fraction form
    24,181.74/36,281.93 = 9,401.06/x
  3. Step 3: Cross multiply
    24,181.74x = 36,281.93 × 9,401.06
  4. Step 4: Simplify right side
    24,181.74x = 341,088,644.55
  5. Step 5: Solve for x
    x = 341,088,644.55/24,181.74
  6. Step 6: Final answer
    x = 14,105.22

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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.