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Finding the Fourth Proportional to 15,359.68, 23,042 and 4,968.96

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Solution

The fourth proportional to 15,359.68, 23,042 and 4,968.96 is: 7,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,359.68 : 23,042 = 4,968.96 : x
  2. Step 2: Convert to fraction form
    15,359.68/23,042 = 4,968.96/x
  3. Step 3: Cross multiply
    15,359.68x = 23,042 × 4,968.96
  4. Step 4: Simplify right side
    15,359.68x = 114,494,776.32
  5. Step 5: Solve for x
    x = 114,494,776.32/15,359.68
  6. Step 6: Final answer
    x = 7,454.24

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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.