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Finding the Fourth Proportional to 24,809.64, 37,204.74 and 9,222.36

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Solution

The fourth proportional to 24,809.64, 37,204.74 and 9,222.36 is: 13,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.64 : 37,204.74 = 9,222.36 : x
  2. Step 2: Convert to fraction form
    24,809.64/37,204.74 = 9,222.36/x
  3. Step 3: Cross multiply
    24,809.64x = 37,204.74 × 9,222.36
  4. Step 4: Simplify right side
    24,809.64x = 343,115,505.99
  5. Step 5: Solve for x
    x = 343,115,505.99/24,809.64
  6. Step 6: Final answer
    x = 13,829.93

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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.