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Finding the Fourth Proportional to 24,892.64, 37,326 and 11,741.48

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Solution

The fourth proportional to 24,892.64, 37,326 and 11,741.48 is: 17,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.64 : 37,326 = 11,741.48 : x
  2. Step 2: Convert to fraction form
    24,892.64/37,326 = 11,741.48/x
  3. Step 3: Cross multiply
    24,892.64x = 37,326 × 11,741.48
  4. Step 4: Simplify right side
    24,892.64x = 438,262,482.48
  5. Step 5: Solve for x
    x = 438,262,482.48/24,892.64
  6. Step 6: Final answer
    x = 17,606.11

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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.