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Finding the Fourth Proportional to 24,905.40, 37,362.18 and 9,324.24

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Solution

The fourth proportional to 24,905.40, 37,362.18 and 9,324.24 is: 13,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,905.40 : 37,362.18 = 9,324.24 : x
  2. Step 2: Convert to fraction form
    24,905.40/37,362.18 = 9,324.24/x
  3. Step 3: Cross multiply
    24,905.40x = 37,362.18 × 9,324.24
  4. Step 4: Simplify right side
    24,905.40x = 348,373,933.24
  5. Step 5: Solve for x
    x = 348,373,933.24/24,905.40
  6. Step 6: Final answer
    x = 13,987.89

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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.