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Finding the Fourth Proportional to 15,358.56, 23,033.04 and 4,968.16

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Solution

The fourth proportional to 15,358.56, 23,033.04 and 4,968.16 is: 7,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,358.56 : 23,033.04 = 4,968.16 : x
  2. Step 2: Convert to fraction form
    15,358.56/23,033.04 = 4,968.16/x
  3. Step 3: Cross multiply
    15,358.56x = 23,033.04 × 4,968.16
  4. Step 4: Simplify right side
    15,358.56x = 114,431,828.01
  5. Step 5: Solve for x
    x = 114,431,828.01/15,358.56
  6. Step 6: Final answer
    x = 7,450.69

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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.