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Finding the Fourth Proportional to 15,343.88, 23,015.22 and 4,955.96

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Solution

The fourth proportional to 15,343.88, 23,015.22 and 4,955.96 is: 7,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.88 : 23,015.22 = 4,955.96 : x
  2. Step 2: Convert to fraction form
    15,343.88/23,015.22 = 4,955.96/x
  3. Step 3: Cross multiply
    15,343.88x = 23,015.22 × 4,955.96
  4. Step 4: Simplify right side
    15,343.88x = 114,062,509.71
  5. Step 5: Solve for x
    x = 114,062,509.71/15,343.88
  6. Step 6: Final answer
    x = 7,433.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.