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Finding the Fourth Proportional to 15,363.56, 23,049 and 4,975.31

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Solution

The fourth proportional to 15,363.56, 23,049 and 4,975.31 is: 7,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,363.56 : 23,049 = 4,975.31 : x
  2. Step 2: Convert to fraction form
    15,363.56/23,049 = 4,975.31/x
  3. Step 3: Cross multiply
    15,363.56x = 23,049 × 4,975.31
  4. Step 4: Simplify right side
    15,363.56x = 114,675,977.81
  5. Step 5: Solve for x
    x = 114,675,977.81/15,363.56
  6. Step 6: Final answer
    x = 7,464.15

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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.