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Finding the Fourth Proportional to 15,089.24, 20,824.25 and 8,376.14

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Solution

The fourth proportional to 15,089.24, 20,824.25 and 8,376.14 is: 11,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,089.24 : 20,824.25 = 8,376.14 : x
  2. Step 2: Convert to fraction form
    15,089.24/20,824.25 = 8,376.14/x
  3. Step 3: Cross multiply
    15,089.24x = 20,824.25 × 8,376.14
  4. Step 4: Simplify right side
    15,089.24x = 174,426,843.57
  5. Step 5: Solve for x
    x = 174,426,843.57/15,089.24
  6. Step 6: Final answer
    x = 11,559.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.