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Finding the Fourth Proportional to 24,858.24, 37,293.84 and 9,276

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Solution

The fourth proportional to 24,858.24, 37,293.84 and 9,276 is: 13,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.24 : 37,293.84 = 9,276 : x
  2. Step 2: Convert to fraction form
    24,858.24/37,293.84 = 9,276/x
  3. Step 3: Cross multiply
    24,858.24x = 37,293.84 × 9,276
  4. Step 4: Simplify right side
    24,858.24x = 345,937,659.84
  5. Step 5: Solve for x
    x = 345,937,659.84/24,858.24
  6. Step 6: Final answer
    x = 13,916.42

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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.