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Finding the Fourth Proportional to 25,224.30, 37,836.45 and 7,694.10

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Solution

The fourth proportional to 25,224.30, 37,836.45 and 7,694.10 is: 11,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224.30 : 37,836.45 = 7,694.10 : x
  2. Step 2: Convert to fraction form
    25,224.30/37,836.45 = 7,694.10/x
  3. Step 3: Cross multiply
    25,224.30x = 37,836.45 × 7,694.10
  4. Step 4: Simplify right side
    25,224.30x = 291,117,429.95
  5. Step 5: Solve for x
    x = 291,117,429.95/25,224.30
  6. Step 6: Final answer
    x = 11,541.15

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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.