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Finding the Fourth Proportional to 15,238.15, 22,849.01 and 6,913.63

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Solution

The fourth proportional to 15,238.15, 22,849.01 and 6,913.63 is: 10,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.15 : 22,849.01 = 6,913.63 : x
  2. Step 2: Convert to fraction form
    15,238.15/22,849.01 = 6,913.63/x
  3. Step 3: Cross multiply
    15,238.15x = 22,849.01 × 6,913.63
  4. Step 4: Simplify right side
    15,238.15x = 157,969,486.76
  5. Step 5: Solve for x
    x = 157,969,486.76/15,238.15
  6. Step 6: Final answer
    x = 10,366.71

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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.