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Finding the Fourth Proportional to 15,508.69, 23,270.72 and 6,148.50

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Solution

The fourth proportional to 15,508.69, 23,270.72 and 6,148.50 is: 9,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.69 : 23,270.72 = 6,148.50 : x
  2. Step 2: Convert to fraction form
    15,508.69/23,270.72 = 6,148.50/x
  3. Step 3: Cross multiply
    15,508.69x = 23,270.72 × 6,148.50
  4. Step 4: Simplify right side
    15,508.69x = 143,079,986.65
  5. Step 5: Solve for x
    x = 143,079,986.65/15,508.69
  6. Step 6: Final answer
    x = 9,225.79

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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.